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How to divide by decimal quickly?


How to easily divide numbers in scientific notationProve divisibility for general equation of sucessionHow to divide by 12 quickly?How to divide a number by $2$ numbers?What is $underbrace555cdots555_1000 texttimes textmod 7$ without a calculatorDoes zero divide zeroLong Division of Proper Polynomialspolynomial long division minus of a minus clarificationHow many times can I divide a number by anotherFinding out the remainder of $frac11^text10-1100$ using modulus













2












$begingroup$


My friend asked me to help solve a problem in which she cannot use a calculator.



$$
requireenclose
beginarrayr
32.45 encloselongdiv253.11 \[-3pt]
endarray
$$



What is the best method to approach this in an exam situation - i.e. relatively quickly?

Thanks for your help.










share|cite|improve this question







New contributor




alicook is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$











  • $begingroup$
    You can just focus on finding $$ requireenclose beginarrayr 3245 encloselongdiv25311,\ endarray $$ since $frac253.1132.45 =frac253113245$. By the way, is the exam multiple choice? And what type of answer does it want (decimal form, or remainder?)?
    $endgroup$
    – Minus One-Twelfth
    Mar 11 at 9:00











  • $begingroup$
    That is true. No, it is not multiple choice. With the answer in decimal form.
    $endgroup$
    – alicook
    Mar 11 at 9:06










  • $begingroup$
    This link might be helpful: mathlearners.com/vedic-mathematics/…
    $endgroup$
    – Paras Khosla
    Mar 11 at 9:15






  • 1




    $begingroup$
    +1 for figuring out how to display a long division using MathJax
    $endgroup$
    – bubba
    Mar 11 at 9:20















2












$begingroup$


My friend asked me to help solve a problem in which she cannot use a calculator.



$$
requireenclose
beginarrayr
32.45 encloselongdiv253.11 \[-3pt]
endarray
$$



What is the best method to approach this in an exam situation - i.e. relatively quickly?

Thanks for your help.










share|cite|improve this question







New contributor




alicook is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$











  • $begingroup$
    You can just focus on finding $$ requireenclose beginarrayr 3245 encloselongdiv25311,\ endarray $$ since $frac253.1132.45 =frac253113245$. By the way, is the exam multiple choice? And what type of answer does it want (decimal form, or remainder?)?
    $endgroup$
    – Minus One-Twelfth
    Mar 11 at 9:00











  • $begingroup$
    That is true. No, it is not multiple choice. With the answer in decimal form.
    $endgroup$
    – alicook
    Mar 11 at 9:06










  • $begingroup$
    This link might be helpful: mathlearners.com/vedic-mathematics/…
    $endgroup$
    – Paras Khosla
    Mar 11 at 9:15






  • 1




    $begingroup$
    +1 for figuring out how to display a long division using MathJax
    $endgroup$
    – bubba
    Mar 11 at 9:20













2












2








2





$begingroup$


My friend asked me to help solve a problem in which she cannot use a calculator.



$$
requireenclose
beginarrayr
32.45 encloselongdiv253.11 \[-3pt]
endarray
$$



What is the best method to approach this in an exam situation - i.e. relatively quickly?

Thanks for your help.










share|cite|improve this question







New contributor




alicook is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




My friend asked me to help solve a problem in which she cannot use a calculator.



$$
requireenclose
beginarrayr
32.45 encloselongdiv253.11 \[-3pt]
endarray
$$



What is the best method to approach this in an exam situation - i.e. relatively quickly?

Thanks for your help.







divisibility






share|cite|improve this question







New contributor




alicook is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question







New contributor




alicook is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question






New contributor




alicook is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked Mar 11 at 8:49









alicookalicook

111




111




New contributor




alicook is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





alicook is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






alicook is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











  • $begingroup$
    You can just focus on finding $$ requireenclose beginarrayr 3245 encloselongdiv25311,\ endarray $$ since $frac253.1132.45 =frac253113245$. By the way, is the exam multiple choice? And what type of answer does it want (decimal form, or remainder?)?
    $endgroup$
    – Minus One-Twelfth
    Mar 11 at 9:00











  • $begingroup$
    That is true. No, it is not multiple choice. With the answer in decimal form.
    $endgroup$
    – alicook
    Mar 11 at 9:06










  • $begingroup$
    This link might be helpful: mathlearners.com/vedic-mathematics/…
    $endgroup$
    – Paras Khosla
    Mar 11 at 9:15






  • 1




    $begingroup$
    +1 for figuring out how to display a long division using MathJax
    $endgroup$
    – bubba
    Mar 11 at 9:20
















  • $begingroup$
    You can just focus on finding $$ requireenclose beginarrayr 3245 encloselongdiv25311,\ endarray $$ since $frac253.1132.45 =frac253113245$. By the way, is the exam multiple choice? And what type of answer does it want (decimal form, or remainder?)?
    $endgroup$
    – Minus One-Twelfth
    Mar 11 at 9:00











  • $begingroup$
    That is true. No, it is not multiple choice. With the answer in decimal form.
    $endgroup$
    – alicook
    Mar 11 at 9:06










  • $begingroup$
    This link might be helpful: mathlearners.com/vedic-mathematics/…
    $endgroup$
    – Paras Khosla
    Mar 11 at 9:15






  • 1




    $begingroup$
    +1 for figuring out how to display a long division using MathJax
    $endgroup$
    – bubba
    Mar 11 at 9:20















$begingroup$
You can just focus on finding $$ requireenclose beginarrayr 3245 encloselongdiv25311,\ endarray $$ since $frac253.1132.45 =frac253113245$. By the way, is the exam multiple choice? And what type of answer does it want (decimal form, or remainder?)?
$endgroup$
– Minus One-Twelfth
Mar 11 at 9:00





$begingroup$
You can just focus on finding $$ requireenclose beginarrayr 3245 encloselongdiv25311,\ endarray $$ since $frac253.1132.45 =frac253113245$. By the way, is the exam multiple choice? And what type of answer does it want (decimal form, or remainder?)?
$endgroup$
– Minus One-Twelfth
Mar 11 at 9:00













$begingroup$
That is true. No, it is not multiple choice. With the answer in decimal form.
$endgroup$
– alicook
Mar 11 at 9:06




$begingroup$
That is true. No, it is not multiple choice. With the answer in decimal form.
$endgroup$
– alicook
Mar 11 at 9:06












$begingroup$
This link might be helpful: mathlearners.com/vedic-mathematics/…
$endgroup$
– Paras Khosla
Mar 11 at 9:15




$begingroup$
This link might be helpful: mathlearners.com/vedic-mathematics/…
$endgroup$
– Paras Khosla
Mar 11 at 9:15




1




1




$begingroup$
+1 for figuring out how to display a long division using MathJax
$endgroup$
– bubba
Mar 11 at 9:20




$begingroup$
+1 for figuring out how to display a long division using MathJax
$endgroup$
– bubba
Mar 11 at 9:20










1 Answer
1






active

oldest

votes


















2












$begingroup$

May be
$$32.45=frac3245100=frac5 times 11 times 59100$$
$$253.11=frac25311100=frac3 times 11 times 13 times 59100$$ could help to get
$$frac32.45253.11=frac 539$$
$$frac253.1132.45=frac 395=frac 7810=7.8$$






share|cite|improve this answer









$endgroup$












  • $begingroup$
    It was quite a good idea to factorise the numbers.
    $endgroup$
    – Henrik
    Mar 11 at 9:42










  • $begingroup$
    @Henrik. I suppose that this was the goal of the problem. Dividing by $5$ or by $11$ is simple mentally; by $13$, they used to teach it at my time (looooong time ago !).
    $endgroup$
    – Claude Leibovici
    Mar 11 at 9:45










  • $begingroup$
    That's great but how do you get to the factorisation? What is the thought process behind - if I can ask that? Do you just start with 5 or 10 usually? I can see as soon as you start doing that - it simplifies quickly.
    $endgroup$
    – alicook
    Mar 11 at 9:51










  • $begingroup$
    @alicook. Multiple both numbers by $100$ to kake them whole numbers; this does not change the ratio. Now, have a look at en.wikipedia.org/wiki/Divisibility_rule and use mental calculation.
    $endgroup$
    – Claude Leibovici
    Mar 11 at 9:58










Your Answer





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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









2












$begingroup$

May be
$$32.45=frac3245100=frac5 times 11 times 59100$$
$$253.11=frac25311100=frac3 times 11 times 13 times 59100$$ could help to get
$$frac32.45253.11=frac 539$$
$$frac253.1132.45=frac 395=frac 7810=7.8$$






share|cite|improve this answer









$endgroup$












  • $begingroup$
    It was quite a good idea to factorise the numbers.
    $endgroup$
    – Henrik
    Mar 11 at 9:42










  • $begingroup$
    @Henrik. I suppose that this was the goal of the problem. Dividing by $5$ or by $11$ is simple mentally; by $13$, they used to teach it at my time (looooong time ago !).
    $endgroup$
    – Claude Leibovici
    Mar 11 at 9:45










  • $begingroup$
    That's great but how do you get to the factorisation? What is the thought process behind - if I can ask that? Do you just start with 5 or 10 usually? I can see as soon as you start doing that - it simplifies quickly.
    $endgroup$
    – alicook
    Mar 11 at 9:51










  • $begingroup$
    @alicook. Multiple both numbers by $100$ to kake them whole numbers; this does not change the ratio. Now, have a look at en.wikipedia.org/wiki/Divisibility_rule and use mental calculation.
    $endgroup$
    – Claude Leibovici
    Mar 11 at 9:58















2












$begingroup$

May be
$$32.45=frac3245100=frac5 times 11 times 59100$$
$$253.11=frac25311100=frac3 times 11 times 13 times 59100$$ could help to get
$$frac32.45253.11=frac 539$$
$$frac253.1132.45=frac 395=frac 7810=7.8$$






share|cite|improve this answer









$endgroup$












  • $begingroup$
    It was quite a good idea to factorise the numbers.
    $endgroup$
    – Henrik
    Mar 11 at 9:42










  • $begingroup$
    @Henrik. I suppose that this was the goal of the problem. Dividing by $5$ or by $11$ is simple mentally; by $13$, they used to teach it at my time (looooong time ago !).
    $endgroup$
    – Claude Leibovici
    Mar 11 at 9:45










  • $begingroup$
    That's great but how do you get to the factorisation? What is the thought process behind - if I can ask that? Do you just start with 5 or 10 usually? I can see as soon as you start doing that - it simplifies quickly.
    $endgroup$
    – alicook
    Mar 11 at 9:51










  • $begingroup$
    @alicook. Multiple both numbers by $100$ to kake them whole numbers; this does not change the ratio. Now, have a look at en.wikipedia.org/wiki/Divisibility_rule and use mental calculation.
    $endgroup$
    – Claude Leibovici
    Mar 11 at 9:58













2












2








2





$begingroup$

May be
$$32.45=frac3245100=frac5 times 11 times 59100$$
$$253.11=frac25311100=frac3 times 11 times 13 times 59100$$ could help to get
$$frac32.45253.11=frac 539$$
$$frac253.1132.45=frac 395=frac 7810=7.8$$






share|cite|improve this answer









$endgroup$



May be
$$32.45=frac3245100=frac5 times 11 times 59100$$
$$253.11=frac25311100=frac3 times 11 times 13 times 59100$$ could help to get
$$frac32.45253.11=frac 539$$
$$frac253.1132.45=frac 395=frac 7810=7.8$$







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Mar 11 at 9:37









Claude LeiboviciClaude Leibovici

124k1157135




124k1157135











  • $begingroup$
    It was quite a good idea to factorise the numbers.
    $endgroup$
    – Henrik
    Mar 11 at 9:42










  • $begingroup$
    @Henrik. I suppose that this was the goal of the problem. Dividing by $5$ or by $11$ is simple mentally; by $13$, they used to teach it at my time (looooong time ago !).
    $endgroup$
    – Claude Leibovici
    Mar 11 at 9:45










  • $begingroup$
    That's great but how do you get to the factorisation? What is the thought process behind - if I can ask that? Do you just start with 5 or 10 usually? I can see as soon as you start doing that - it simplifies quickly.
    $endgroup$
    – alicook
    Mar 11 at 9:51










  • $begingroup$
    @alicook. Multiple both numbers by $100$ to kake them whole numbers; this does not change the ratio. Now, have a look at en.wikipedia.org/wiki/Divisibility_rule and use mental calculation.
    $endgroup$
    – Claude Leibovici
    Mar 11 at 9:58
















  • $begingroup$
    It was quite a good idea to factorise the numbers.
    $endgroup$
    – Henrik
    Mar 11 at 9:42










  • $begingroup$
    @Henrik. I suppose that this was the goal of the problem. Dividing by $5$ or by $11$ is simple mentally; by $13$, they used to teach it at my time (looooong time ago !).
    $endgroup$
    – Claude Leibovici
    Mar 11 at 9:45










  • $begingroup$
    That's great but how do you get to the factorisation? What is the thought process behind - if I can ask that? Do you just start with 5 or 10 usually? I can see as soon as you start doing that - it simplifies quickly.
    $endgroup$
    – alicook
    Mar 11 at 9:51










  • $begingroup$
    @alicook. Multiple both numbers by $100$ to kake them whole numbers; this does not change the ratio. Now, have a look at en.wikipedia.org/wiki/Divisibility_rule and use mental calculation.
    $endgroup$
    – Claude Leibovici
    Mar 11 at 9:58















$begingroup$
It was quite a good idea to factorise the numbers.
$endgroup$
– Henrik
Mar 11 at 9:42




$begingroup$
It was quite a good idea to factorise the numbers.
$endgroup$
– Henrik
Mar 11 at 9:42












$begingroup$
@Henrik. I suppose that this was the goal of the problem. Dividing by $5$ or by $11$ is simple mentally; by $13$, they used to teach it at my time (looooong time ago !).
$endgroup$
– Claude Leibovici
Mar 11 at 9:45




$begingroup$
@Henrik. I suppose that this was the goal of the problem. Dividing by $5$ or by $11$ is simple mentally; by $13$, they used to teach it at my time (looooong time ago !).
$endgroup$
– Claude Leibovici
Mar 11 at 9:45












$begingroup$
That's great but how do you get to the factorisation? What is the thought process behind - if I can ask that? Do you just start with 5 or 10 usually? I can see as soon as you start doing that - it simplifies quickly.
$endgroup$
– alicook
Mar 11 at 9:51




$begingroup$
That's great but how do you get to the factorisation? What is the thought process behind - if I can ask that? Do you just start with 5 or 10 usually? I can see as soon as you start doing that - it simplifies quickly.
$endgroup$
– alicook
Mar 11 at 9:51












$begingroup$
@alicook. Multiple both numbers by $100$ to kake them whole numbers; this does not change the ratio. Now, have a look at en.wikipedia.org/wiki/Divisibility_rule and use mental calculation.
$endgroup$
– Claude Leibovici
Mar 11 at 9:58




$begingroup$
@alicook. Multiple both numbers by $100$ to kake them whole numbers; this does not change the ratio. Now, have a look at en.wikipedia.org/wiki/Divisibility_rule and use mental calculation.
$endgroup$
– Claude Leibovici
Mar 11 at 9:58










alicook is a new contributor. Be nice, and check out our Code of Conduct.









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alicook is a new contributor. Be nice, and check out our Code of Conduct.












alicook is a new contributor. Be nice, and check out our Code of Conduct.











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