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# Dividing by a multi-digit decimal

Dividing decimals involves a few simple steps. First, convert the divisor into a whole number by shifting the decimal point to the right. Apply the same process to the dividend. Then, perform regular division with the new numbers. Finally, position the decimal point in the quotient to match the dividend. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

• If I have a remainder how do I get rid of it? Someone told me you can do that.
• you cant really get rid of it. just add a zero to the end of the number in the division box thing. continue the prob. until you get an awnswer without a remainder.
• What do you do with a remainder when dividing decimals?
• The video is only for me, but you just turn it into a fraction, decimal, or remainder,
• Can you take the decimal out of the number, divide and put it back. I'm pretty sure it's not correct. So, if you multiply the decimal as much as you need to, you get a whole number and not to change the value you do the same two the number your dividing into. Is the correct? Are their other methods?
• If I'm reading your question right, then yeah you're right! The trick would be to know where to place your decimal point when you have your answer.

Another method to dividing would be to divide by the whole number first.
For example: 10.925/2.5
First you should find how many times 2.5 can go into 10, which is 4.
After that you have 0.925 left to divide, but 2.5 isn't gonna fit in 0.925 so the decimal point has to go after the 4.
Now you can use your other method to find how many times 25 goes into 925 which is 37.
• Is there a video for dividing a whole number from a fraction?
• why is math always so hard?😭
• why at do you multiply if you get the same answer?
• Sal was showing a different way to do this. ( Hear him say rewrite?)
• hello im watching the video and I wonder how do you divide decimals,he gave a great exaplation and I got an A+ in math because of him so I just wanted to let you know keep doing what you are doing you are changing people lives...
Levi
• Since I multiply the divisor and dividend by 100 to get the whole number SHOULD multiplying or dividing the quotient by 100 return the original value I used when removing the decimal or what? That would return 41.23 or 412.3 though... Am I missing something?
• Hi! I'm like very very very confused, so if someone could help me, that would be amazing!
• you should make the divisor a whole number for simplicity. to do that you must multiply as 10 numbers as possible and the exact number of 10 s which is multiplied by divisor also have to be multiplied by dividend in order to make a new but completely same division.
• Hi. Can someone help me. I dont really understand this video. thanks
• The key thing here is to turn decimals into whole numbers.
But how?
First, let us review the property of division.
a/b = ax/bx. It is like putting the same amount of thing on both side of a balance, and the result do not change.
18.78/3.13
To solve this problem, you need to turn decimals into whole numbers.
So we multiply both side by 100:
18.78·100/3.13·100
= 1878/313
And now you can solve this like a regular whole-number devision.
In some cases, it is a little bit of difference. Like:
6.2/1.55.
In these cases, you must be sure that both of the two numbers are whole numbers. If the digit is not enough, you can add 0s. So we multiply both sides by 100:
6.2·100/1.55·100
= 620/155
Now you can solve it by whole-number division.
I hope it helps!