Calculate - do Long Division

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Max number of decimal places:

Online Long Division calculator

How do you do long division step by step. Use this long division calculator

This calculator performs long division and works as follows:

  1. Enter a number in both Entry fields.
  2. Choose the number of decimal places.
  3. Click on "Long Division".

Explanation of Long Division

To understand how long division works, it is good to look at all the steps of an example.

Example: Divide 124 by 5 using Long Division

Steps:
  • The number that is divided is placed between slashes.
  • 5/1240\24,8
  • The number used to divide is placed to the left.
  • 5/1240\24,8
  • The number 5 does not fit into 1.
  • 5/1240\24,8
  • The number 5 does fit into 12.
    The number of times 5 fits into 12 (2 times) is placed on the right.
  • 5/1240\24,8
  • The number 10 (= 5×2) is placed under 12 and subtracted.
  • 5/1240\24,8
    10
    2
  • The 4 is "added".
  • 5/1240\24,8
    10
    24
  • The number of times 5 fits into 24 (4 times) is placed on the right.
  • 5/1240\24,8
    10
    24
  • The number 20 (= 5×4) is placed under 24 and subtracted.
  • 5/1240\24,8
    10
    24
    20
    4
  • A 0 is added between the slashes.
    A comma is placed right.
  • 5/1240\24,8
    10
    24
    20
    4
  • The 0 is "added".
  • 5/1240\24,8
    10
    24
    20
    40
  • The number of times 5 fits into 40 (8 times) is placed on the right.
  • 5/1240\24,8
    10
    24
    20
    40
  • The number 40 (= 8×5) is placed under 40 and subtracted.
  • 5/1240\24,8
    10
    24
    20
    40
    40
    0
  • The long division is now finished because the remainder is 0.
    The result is 24.8.
  • 5/1240\24,8
    10
    24
    20
    40
    40
    0

Long division and fractions

Long division can be useful for calculating the decimal notation of a fraction.

Example 1: 1/8 = 0,125

The long division for this fraction:
8/1000\0,125
0
10
8
20
16
40
40
0
Example 2: 1/3 = 0,33333

The long division for this fraction:
3/100000\0,33333
0
10
9
10
9
10
9
10
9
10
9
1