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Long Division Calculator
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 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
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