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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: 3771÷8

To divide 3,771 by 8 using long division, start by dividing the first two digits, 37, by 8. This results in a quotient of 4. Next, bring down the next digit, 7, and divide 57 by 8, which goes 7 times. Finally, bring down the last digit, 1, and divide 11 by 8. This yields a quotient of 1 and a remainder of 3. Created by Sal Khan.

## Want to join the conversation?

• How would you simplify an answer with a remainder?
• Good question, you can either convert it into a mixed number or taking a step further convert your answer into a decimal.
Example
25/4=6 remainder 1
To remove the remainder we can divide it by the divisor and convert our answer into a mixed number
25/4= 6 1/4
Taking step further we can convert the fraction 1/4 into a decimal, 0.25 so
6 1/4 = 6.25
• Why is long division called long division? If there is a long division, is there a short division that is easier?
• Just simple division like 6/3=2 or 100/20=5. Basically division that requires only one step.
• Is it possible to determine if the quotient is even or odd just by looking at the remainder?
• No, you can end up with the same remainder when dividing using any quotient,
for example 5/4 = 1 R 1 and 6/5 = 1 R 1 so in this case, R1 could come from an even or an odd number.
• How would you be able to turn the remainder into a fraction and then turn it back to decimal form?
• Is there a video on checking long division with multiplication
• Multiply the quotient (answer) you got by the divisor (the number you are dividing by). Then add the remainder you got. The result should be the dividend (the number you are dividing).

Have a blessed, wonderful day!
• why does a remeinder ecsist
• The remainder exist so later in life, you can add the remainder on to the answer to make it longer and get the exact answer with decimals. If you have a remainder and don't add it, you have a simpler answer than the real one.
• Can I get help regarding 3272÷8
• 3272/8=409
Think about it like this, 32 is divisible by 8, and it is in the hundreds place, so 4 would be in the hundreds, 72 is 9*8, so 9 would be in the ones place.