Long Division Calculator

Long Division Algorithm

Assume we want to divide 127 by 5 using long division. The algorithm for solving this problem can be explained in a step-by-step manner.

Step 1: Identify the divisor and dividend and set up the division problem. In our example, the divisor is 127, and the dividend is number 5. The division problem is:

______
5 | 127

Step 2:Divide the first digit in the dividend by the first digit of the divisor. Write zero at the top of the table:

    0
  ________
5 | 1 2 7

Step 2:Divide the 12 by the divisor. [ 12 : 5 = 2]. Write 2 at the top of the table:

    0 2
  ________
5 | 1 2 7

Step 3:Multiply 2 by 5, then write the result below 12.

    0 2
  ________
5 | 1 2 7
    1 0

Step 4:Subtract 10 from 12.

    0 2
  ________
5 | 1 2 7
    1 0
    ---
      2

Step 5:Bring down the next digit.

    0 2
  ________
5 | 1 2 7
    1 0
    ---
      2 7

Step 6:Divide 27 by 5. Write number 5 at the top row. Then multiply 5 by 5 to get 25.

    0 2 5
  ________
5 | 1 2 7
    1 0
    ---
      2 7

Step 7:Multiply 5 by 5 to get 25.

    0 2 5
  ________
5 | 1 2 7
    1 0
    ---
      2 7
      2 5
      ---

Step 8:Subtract 25 from 27 to get the reminder of 2. The quotient is 25.

    0 2 5
  ________
5 | 1 2 7
    1 0
    ---
      2 7
      2 5
      ---