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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.

division problems

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:

division problems 2

  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:

division problems 3

  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

division problems 4

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!

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  • Ayomide oyedokunNov 25 2020, 4:46 PM

    Thank you so much, I’m really greatful.

  • YeetOct 15 2020, 1:03 PM

    Thanks! It really helped me a lot! I forgot how to do this but this website did a nice refresh to my brain.

  • AbudulahiJun 09 2020, 7:48 AM

    It’s magnificent

    • Fabulous.Aug 27 2020, 3:34 AM

      Thanks so much for this

  • maryssaMay 19 2020, 9:34 AM

    I forgot how to do it

  • ArpilApr 02 2020, 4:46 AM

    Thank you so much for this trick

  • Bhargab Jyoti GoswamiFeb 26 2020, 12:05 AM

    Actually I forgot that

  • EasonJun 16 2019, 1:27 PM

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

  • Gaurav GuptaMay 22 2019, 12:48 AM


  • SachithaJan 05 2019, 5:50 AM


  • Vanita SomvanshiApr 10 2018, 8:55 PM

    impressive !

  • KareenApr 09 2018, 7:32 PM

    I love this demonstration. Thanks very much.

  • JohnsonFeb 15 2018, 6:28 AM

    The steps for solving 2 digit division was simply enough to understand and the explanations obiovous. thanks and keep up

  • Samukelisiwe mkhizeJan 18 2018, 12:13 PM

    This websit is very helpful thanks a lot