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

Lesson 13: Dividing decimals: standard algorithm

# Dividing decimals with hundredths

Dividing decimals can be made simple by multiplying both numbers by the same amount to eliminate decimals. For example, when dividing 30.24 by 0.42, multiply both by 100 to get 3,042 divided by 42. Using long division, the final answer is 72, making the process easy and efficient. Created by Sal Khan.

## Want to join the conversation?

• When you divide decimals is it the same as when you divide numbers above 1?
• Yes, just multiply the smaller number by 10 until it is a whole number, and then multiply the other number by 10 the same amount of times. Them divide with those numbers and you will get the answer.
• At Sal changes the division into a fraction. In any video does he then simplify the fraction to make the division easier? An example is: 3024/42 are both even so it's divisible by 2/2 equaling 1512/21. Then that's divisible by 3/3 equaling 504/7. Finally, divide by 7/7 to equal 72. It may take more steps, but each division is by a single digit which is easier to do.
• There is no 'proper' way. True understanding of this concept (diving by decimals) means you can look at the problem in more than one way and select the most appropriate. rhsobon is not suggesting his way is 'better'. It's different. It's worth considering. I would also be interested to see a video where this alternative way of tacking the problem was explored. I echo rhsobon's question: is there one?
• for the division equation u typed 3024 instead of 3042
• That is a known error in the video. If you are not watching in full screen mode, you see a correction box that pops up.
• cant u just take out the decimals and then do the long division
• Yes and that is exactly how you should approach these types of problems. Just remember to add the decimal back into the problem when you finish.
• Sal wrote 3042 instead of 3024. I just noticed tht at the very end. Even Sal makes mistakes.
• Yes, but there is a team of volunteers who look for Sal's mistakes, and they are corrected such as the text box at around .
• , there has been an error.please take note
• Do not know what error you are talking about, but Sal makes an error at :46 when he writes 30.42 instead of 30.24 which has a text box correction that continues until end of video. At he is just talking about dividing and the fact that 42 cannot go into 3 or 30, so you have to go all the way to 302.
• Did he just stutter? -
• Pretty sure he did.