How to Calculate Long Division
What is Long Division?
Long division is a step-by-step method for dividing large numbers by hand. It breaks the division into a sequence of smaller operations — divide, multiply, subtract, bring down — repeated until the calculation is complete. The result is a quotient and (optionally) a remainder.
Step-by-Step Guide
- 1Write the dividend inside the bracket and the divisor outside
- 2Divide the first digit(s) of the dividend by the divisor to get the first quotient digit
- 3Multiply that quotient digit by the divisor and write the product below
- 4Subtract to find the remainder, then bring down the next digit
- 5Repeat steps 2–4 until all digits are processed
Worked Examples
Input
487 ÷ 32
Result
15 remainder 7
32×15=480, 487−480=7
Input
945 ÷ 7
Result
135
No remainder
Input
100 ÷ 3
Result
33 remainder 1
3×33=99, 100−99=1
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