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## Arithmetic (all content)

### Course: Arithmetic (all content)>Unit 6

Lesson 13: Dividing decimals: standard algorithm

# Long division with decimals

How do we divide a decimal by another decimal? One great approach is first to turn both numbers into whole numbers before proceeding with the standard algorithm. Sal Khan shows us how to do this. When using long division, it is important to keep things organized and in neat columns!

## Want to join the conversation?

• Is Khan Academy good for studying? I feel it is and I am considering recomending it to a friend.
• Yes, Khan Academy is awesome!
• any easier ways to do this
• I would say probbally not:(
• Is there an easier way to divide, without having to round and figure out what the closest number is and all that? Like how you do dividing only one digidt
• Unfortunately, there wouldn't be ):
• And when you have a decimal do you just erase the other decimal when you figured out your answer or just keep It there?
• hi, why do we add the numbers on top of the 67?
• Can you explain why moving the decimal point has no bearing on the answer. I understand it but can't articulatie to well to the class.

Kind regards
• I will gladly explain :)

Let's rewrite the equation in multiples or divisables of powers of ten. In our case 2.211 ÷ 6.7 could be rewriten as (2211 ÷ 10³) ÷ (67 ÷ 10) or (2211 ÷ (10 * 10 * 10)) ÷ (67 ÷ 10). We can cancel one of the tens on both sides like we would in a fraction. Remember from previous Khan Academy courses, where you find out ab/ac is the same thing as b/c? For the same reason we can do the same with division and remove the one of tens on both of the sides.

So to simplify: (2211 ÷ (10 * 10 * 10)) ÷ (67 ÷ 10) we can rewrite to (2211 ÷ (10 * 10)) ÷ 67. We also know 2211 ÷ (10 * 10) is 2211 ÷ 100 or 22.11.

So that's why 2.211 ÷ 6.7 can be simplified to 22.11 ÷ 67.

Hope that helps :D
• can u gib me votes pls
• So you do not have to move the decimal place back to where your started, the correct answer is the same even with moving the decimal place at the start?