basic mathematics image
 basic mathematics image

Dividing whole numbers



Dividing whole numbers is the opposite of multiplying whole numbersIt is the process by which we try to find out how many times a number (divisor) is contained in another number (dividend).



The answer in the division problem is called a quotient.In the division problem below( 63 ÷ 7) , 7 is contained into 63, 9 times. (9 × 7 = 63)

division-image

Other examples:

long-division-image

When the dividend is bigger than 100, the answer may not be obvious. In this case you need to do long division. Study the following example (462 ÷ 3) carefully.

long-division-image

It is not easy to see immediately how many times 3 is contained into 462. It may not be easy also to see how many times 3 is contained into 46. However, it is fairly easy to see that 3 is contained into 4 once.

Therefore, we do this in step 1 and put the 1 above the 4.

In step 2, we multiply 1 by 3 and subtract the answer(3) from 4.

In step 3, we bring down the 62. Now, we need to find out how many times 3 is contained in 162. Still, it may not be obvious, so we will try to find out instead how many times 3 is contained into 16.

This is done in step 4 and we see that 3 is contained into 16, 5 times. We put the 5 above the 4.

In step 5 , we multiply 5 by 3 and subtract the answer (15) from 16.

In step 6 , we bring down the 2.

In step 7 , we try to find out how many times 3 is contained into 12.

3 × 4 = 12, so 3 is contained into 12, 4 times.

Finally, we put the 4 above the 6.

The answer is 154. or 3 is contained into 462, 154 times

The same division can be done faster if you can find out how many times 3 is contained into 45. 45 contains 3, 15 times. Then, you can finish the problem in 4 steps

long-division-image

Use this division calculator below to assist you when dividing whole numbers


Enter your first number:        

Enter your second number:   

       

The result is :  





Page copy protected against web site content infringement by Copyscape





Ask a Math Teacher
Math teachers are online. Ask a Question, Get an Answer ASAP.







[?] Subscribe To
This Site

XML RSS
Add to Google
Add to My Yahoo!
Add to My MSN
Add to Newsgator
Subscribe with Bloglines






|Are you a fan of this site? Support us |Our awards! |Our partners |About me |Disclaimer |Build your website! |Advertise on my site |Try our free toolbar |Like us on Facebook |Take our survey|
Copyright © 2008. Basic-mathematics.com. All right reserved