Dividing whole numbers



Dividing whole numbers is the opposite of multiplying whole numbers. It 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)

63 divided by 7
Other examples:

Examples of long division
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 of 462 divided by 3


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







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