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 above ( 63 ÷ 7) , 7 is contained into 63, 9 times. (9 × 7 = 63)
Some other interesting examples showing how dividing whole numbers work.
When the dividend is bigger than 100, the answer may not be obvious. In this case you need to do long division in order to find the quotient. Study the following example (462 ÷ 3) carefully.
Here is a detailed explanation of step 1 to step 7 that may help you better understand this long division.
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 or 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 five times. We put the 5 above the 4.
In
step 5 , we multiply 5 by 3 and subtract the answer or 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 four times.
Finally, we put the 4 above the 6.
The answer is 154. We can also say that 3 is contained into 462 one hundred fifty-four times.
Notice that the same division can be done faster if you can find out how many times 3 is contained into 46. 46 contains 3 fifteen times. Then, you can finish the problem in 4 steps as shown below:
-
May 26, 22 06:50 AM
Learn how to find the area of a rhombus when the lengths of the diagonals are missing.
Read More
Enjoy this page? Please pay it forward. Here's how...
Would you prefer to share this page with others by linking to it?
- Click on the HTML link code below.
- Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.