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### Course: 4th grade (2018 edition)>Unit 2

Lesson 8: Remainders

# Long division with remainders: 2292÷4

Learn the long division process for multi-digit numbers, including examples with remainders. The video emphasizes the importance of practice and understanding multiplication tables to tackle any division problem using long division techniques. Created by Sal Khan.

## Want to join the conversation?

• Are there any tricks to know how many times a number goes into a bigger number.
• 9 years late but yes, to check if a number is divisible by 11. The trick is to determine whether or not the two numbers on the outside's sum is equal to the one in the middle.
For example:
Is 253 divisible by 11?
Well, 2 + 3 = 5
and the number in the center is 5 ,so yes.
This trick works for all numbers, but what if the number was a 4 digit number? Like this one.
Is 1078 divisible by 11?
Well, what do you do?
You get the numbers like this.
1078 split it apart and get:
10 78
10 + 78
Next, we put subtraction signs between the 2 numbers, like this:
(1 - 0) + (7 - 8)
1 + (-1) --> 1 - 1 = 0
Since 0 can be divided without decimals, 1078 is divisible by 11. There are others but I don't want to put them here xD
• The answer for question #1 is 573
• is a remainder a decimal?
• No. it is not, here let me explain why - remainders are basically the remains of a division problem. To make you understand more clearly, remainders are more like a leftover, because the number can’t fit in more. But decimals and fractions [etc.] are parts of a whole. Decimals and fractions [etc.] are used to show where exactly a number is. So, there is a difference between 4, and 4.6 tenths. Thus, remainders are leftovers and Decimals and fractions [etc.] are parts of a whole. So the quick answer to your question is no, remainders are not decimals or fractions. Thank you! Hopefully this helps somebody, and Have a good day! [i don't want to be that type of person, but it would be good to have a few upvotes. Thanks!]
• What is PEDMAS?
• Actually it's PEMDAS but here: P=Parentheses, E=Exponents, M=Multiplication, D=Division, A=Addition, S=Subtraction. Hope this helped :)
• is it just me or can you find everyone that you dont know in these comments and nobody that you actually know
• on the third equation, when you brought down the numbers,it looked like a rainbow 😄😄😄😄
• At to 40, Sal mentions that adding all the digits prove something is divisible by 3. Why do adding all of the digits and proving THAT is divisible by 3 make a number divisible by 3? Is there a specific math reason for that? If there is, pls let me know ^^!
• Hey Sal!