Smartick is a fun way to learn math! Jun16

# How to Solve Double Digit Division

#### In today’s post we are going to explain how to solve double digit division.

Before beginning to learn how to solve double digit division, it is important that you become familiar with these terms, because we will use them later. Dividend: the number that is being divided.

Divisor: the number by which the dividend is divided.

Quotient: the result of division.

Remainder: the amount that is left over after division.

Once you have seen this, you know where to place each number in the division. Now, we have to follow these steps:

1. Take the first digits of the dividend, the same number of digits that the divisor has. If the number taken from the dividend is smaller than the divisor, you need to take the next digit of the dividend.
2. Divide the first number of the dividend (or the two first numbers if the previous step took another digit) by the first digit of the divisor. Write the result of this division in the space of the quotient.
3. Multiply the digit of the quotient by the divisor, write the result beneath the dividend and subtract it. If you cannot, because the dividend is smaller, you will have to choose a smaller number in the quotient until it can subtract.
4. After subtraction, drop the next digit of the dividend and repeat from step 2 until there are no more remaining numbers in the dividend.

That’s the concept, but we are going to go through it with an example.

We are going to solve the following double digit division: 1. Take the first digits of the dividend: in this case 57. But as 57 is smaller than 73, you have to take one more digit: 573.
1. To divide 573 by 73, we take the first two digits of the dividend: 57 and divide them by the first digit of the divisor:

57 ÷ 7 = 8

1. Write the 8 in the quotient and multiply it by the divisor:

8 x 73 = 584

But 584 is bigger than 573; therefore, 8 “does not fit”. You have to choose the preceding number and multiply again:

7 x 73 = 511

511 is smaller than the dividend; therefore 7 “does fit”. We write 511 beneath the digits of the dividend and then divide and subtract: 1. Drop the next digit of the dividend, which is 8. Now, you have to divide 628 by 73. Repeat the previous steps:

Divide the first two digits of the dividend by the first digit of the divisor and write it in the space of the quotient:

62 ÷ 7 = 8

Multiply that digit by the divisor:

8 x 73 = 584

584 is less than 628; therefore, we can subtract:

628 – 584 = 44 The result of this division is 78 and a remainder of 44.

I hope that you have learned with this post how to do double-digit division.

Do not hesitate to leave your comments!

Fun is our brain’s favorite way of learning
Diane Ackerman
Smartick is a fun way to learn math
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• Millions of students since 2009  • SelwynPositarMar 15 2023, 7:12 AM

Cool! It’s not hard for me anymore. Thanks for you’re help 🙂

• SmartickMar 17 2023, 6:34 AM

Thank you very much for your comment. We hope you found our post helpful. 😊

• MarkAug 20 2022, 11:01 PM

Nvm, you already showed us how to solve the same problem with three digits lol, thanks you very much.

• Andrea EarlyOct 01 2021, 11:08 AM

Thank you for this example!

• ManuDec 05 2022, 2:45 AM

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• EyoAug 18 2023, 1:05 PM

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Thanks a lot.

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• Ayomide oyedokunNov 25 2020, 4:46 PM

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• NamrataSep 10 2021, 6:22 AM

Thank you… For giving hints.

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• Bhargab Jyoti GoswamiFeb 26 2020, 12:05 AM

Thanks
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• Peter kamauJun 29 2023, 12:09 AM

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• EasonJun 16 2019, 1:27 PM

Very useful but a bit too complicated for me to remember.

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Thanks

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• KareenApr 09 2018, 7:32 PM

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