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## Arithmetic

### Course: Arithmetic>Unit 8

Lesson 5: Multi-digit division with partial quotients

# Division with partial quotients (remainder)

Sal divides multi-digit numbers by a single-digit numbers using partial quotients. Answers include remainders.

## Want to join the conversation?

• Why have they put a 20? :/
I don't understand anything :c
• i do not understand eitheir
• Can you do more videos on division strategies they are really helpful
• Yes ElijahD you can do something else than division¡¡¡¡
• I watched this then went and did a problem and they did it way differently than you taught us.
• yeah that's true
(1 vote)
• I do not understand about the new help by dividing what can i do for learn that ease ?
• when I do it on paper (473 divided by 5), it gives me 94.3 also, but when I do it in the calculator, it gives me 94.6. Why it gives me 6 remainders in the calculator?
• The number after the decimal point (.) isn't the same thing as the remainder. When you're dividing on paper you can write a quotient with a remainder as 94 R 3 or something similar. Writing it as 94.3 would actually mean that 5 goes into 473 94 and three tenths times, which isn't true. Your calculator is showing the right answer: 5 goes into 473 94 and six tenths (or 94.6) times. The decimal point is for decimals, not remainders.

If you want, here's a video which explains how you would get a decimal answer to this sort of problem (like your calculator's doing): https://www.khanacademy.org/math/cc-fifth-grade-math/divide-decimals/divide-whole-numbers-to-get-a-decimal-quotient/v/divide-whole-numbers-with-decimal-quotients

I hope this helps!
• i see your strategy here but im cunfused wont it be wrong if u just like guess? or is it always right?
• Yes, it will be wrong if you guess, but partial quotients(aka distributive property) will work if you do it right.
(1 vote)
• you can think of it also like this: 473 is 400+70+3, so you can divide all of the components of 473 by the number you want to divide it by (you can of course do the same with all the numbers you want, this is just an example)
here is how you do it:
if 5x20 = 100, and 400 = 100x4, then we can multiply 20 by 4 as well to get 400. 20x4 = 80 5x80 = 400

70/5 = (60/5 = 12 + (10/5 = 2))
70/5 = (60/5 = 12 + 2)
70/5 = 14

5 is larger than 3, so 5 can stay in 473 94 times with a remainder of 3.