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Long Division Calculator

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This calculator finds the quotient and remainder using the long division method. The calculator will help you in learning the long division algorithm as well as checking your own long division problems' solutions.

Long Division Calculator (shows all steps)
input the divisor and dividend to get the quotient and remainder
help ↓↓ examples ↓↓
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EXAMPLES
Question 1:ex 1:
Divide 359 by 6.
Question 2:ex 2:
What is the remainder when 7865 is divided by 17?
Question 3:ex 3:
What is the quotient when 453901 is divided by 49?
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TUTORIAL

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
      ---
RESOURCES
439 660 649 solved problems