If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

### Course: 5th grade (Eureka Math/EngageNY)>Unit 2

Lesson 7: Topic G: Partial quotients and multi-digit decimal division

# Multi-digit division strategies for decimals

Sal uses understanding of place value, expanded form, and fractions to help divide with decimals.

## Want to join the conversation?

• Wouldn't the answer to .63 divided by .07 be .09 or would it just be 9 and why?
• A really simple way to find out is to multiply the quotient (.09) by the divisor (.07). If your answer is correct, the product will be equal to the dividend (.63). As you can see,
.09 x .07 = .0063, so that can’t be right. But 9 x .07 = .63, which makes sense, because if you have 63 hundredths and you divide them into groups of 7 hundredths, you will have 9 groups.
• how to do i divide with a dividend less than the divisor?
• I don’t get how you move the decimal 2 to the right. How do you do that?
• Basically, moving the decimal 2 places to the right is moving the decimal to a different location in the number. For example, 72.85. I want to move the decimal 2 places to the right so that I can divide it by 9.05. We need to do this for both numbers. And so, after moving the decimals, becomes the whole number s"7,285" divided by "905". Now we can divide.
So basically :
72.85 -----> 728.5 ------> 7,285. We just moved the decimal 2 places to the right.
• how to divide fractions
• At Sal says that you can turn your improper fraction into a mixed number. What happens if your improper fraction is equal to a whole number
• What if i have something like 7.8 / 30? Im still not sure how to do that?
• 1) 30 can't go into 7.8 so your answer will have a whole number of 0.
2) 30 goes into 78 2 times. So, your answer is now up to 0.2
3) Multiply and subtract: 2(30) = 60. 78-60=18. Add a 0 to get 180 and divide again.
4) 30 goes into 180 6 times. So the answer is now at: 0.26
5) Multiply and subtract: 6(30)=180. 180-180=0. There's no remainder, so we're done.

Answer: 7.8 / 30 = 0.26

Hope this helps.
• i keep struggling with division and decimals and this was not helpful. what should i use?