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Long Division Calculator With Steps

This long division calculator shows the quotient, remainder, mixed number, and decimal, with every divide, multiply, subtract, and bring-down step.

The number being divided. Decimals are allowed.

The number you divide by. Zero is rejected.

How many digits to show after the decimal, from 0 to 10.

Result

13 R 1

Mixed number:
13 1/12
Decimal:
13.0833
Exact decimal:
13.08(3)
Check:
157 = 12 × 13 + 1
Long division layout
      13.0833
     --------
12 ) 157.0000
     12
     --
      37
      36
      --
        10
         0
        --
        100
         96
        ---
          40
          36
          --
           40
           36
           --
            4

Steps

  1. Divide: 12 goes into 15 1 time.
  2. Multiply: 1 × 12 = 12.
  3. Subtract: 15 − 12 = 3.
  4. Bring down 7.
  5. Divide: 12 goes into 37 3 times.
  6. Multiply: 3 × 12 = 36.
  7. Subtract: 37 − 36 = 1.
  8. Bring down 0.
  9. Divide: 12 goes into 10 0 times.
  10. Multiply: 0 × 12 = 0.
  11. Subtract: 10 − 0 = 10.
  12. Bring down 0.
  13. Divide: 12 goes into 100 8 times.
  14. Multiply: 8 × 12 = 96.
  15. Subtract: 100 − 96 = 4.
  16. Bring down 0.
  17. Divide: 12 goes into 40 3 times.
  18. Multiply: 3 × 12 = 36.
  19. Subtract: 40 − 36 = 4.
  20. Bring down 0.
  21. Divide: 12 goes into 40 3 times.
  22. Multiply: 3 × 12 = 36.
  23. Subtract: 40 − 36 = 4.
  24. Whole-number quotient: 13, remainder 1.
  25. Check: 157 = 12 × 13 + 1.
  26. Mixed number: 13 1/12.
  27. Decimal to 4 places: 13.0833. The repeating digits are 3, so the exact decimal is 13.08(3).

The layout shows the absolute values to 4 decimal places. The remainder above is the whole-number remainder. The math stays in your browser.

How to use

  1. Enter the dividend and the divisor. Decimals are allowed. A divisor of 0 is rejected.
  2. Choose how many decimal places to show, from 0 to 10.
  3. Read the quotient with remainder, the mixed number, and the decimal. A repeating block is marked when one appears.
  4. Check that the divisor times the quotient, plus the remainder, equals the dividend.

Formula

Dividend = divisor × quotient + remainder, and the remainder is smaller in absolute value than the divisor. The mixed number puts that remainder over the divisor. To divide decimals, move the decimal point in the divisor until it is a whole number and move the dividend the same number of places. Bringing down zeros continues the decimal. If a remainder repeats, those digits repeat.

Example. 157 ÷ 12 = 13 R 1 = 13 1/12 = 13.08(3). Check: 12 × 13 + 1 = 157.

Example. 3.6 ÷ 1.2 moves the decimal one place and becomes 36 ÷ 12 = 3. Dividing by zero is undefined.

Frequently asked questions

What are the steps of long division?

Divide, multiply, subtract, and bring down the next digit. Repeat until no digits remain.

How do I check my answer?

Divisor x quotient + remainder should equal the dividend. For 157 / 12: 12 x 13 + 1 = 157.

How do I get a decimal instead of a remainder?

Add a decimal point and zeros to the dividend and keep dividing. The tool can stop at any number of places or show a repeating pattern.

How do I write the remainder as a fraction?

Put the remainder over the divisor. 157 / 12 = 13 1/12.

Can I divide decimals?

Yes. Move the decimal point in the divisor to make it a whole number, and move the dividend's decimal the same number of places.

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