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### Course: Numbers & Operations - The Real & Complex Number Systems 211-217>Unit 5

Lesson 4: Multi-digit division

# 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
• 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 😄😄😄😄
• I sometimes have problems figuring out which number is the divisor
• In long division, the dividend is under the roof. The divisor is knocking on the door. Most of the time the divisor is the small number going into the bigger number (dividend). I hope that helps.

When you say "divided by" the number after the "by" is the divisor.
• how can you divide with millions!
• Dividing with millions is not that complicated.
For example, 17 million divided by 1 million is 17. Just take the first number (17), and divide it by the second one (1).
Or 30 million divided by 5 million is 6, since 30/5 is 6.
• what to do if i get stuck in the middle of dividing my answers