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How It Works
Long division breaks a large division problem into a series of smaller steps: divide, multiply, subtract, bring down. You repeat this cycle for each digit of the dividend until all digits have been processed. The calculator supports both remainder and decimal output.
Example Problem
Divide 845 by 6:
- 8 ÷ 6 = 1, remainder 2.
- Bring down 4 to get 24. 24 ÷ 6 = 4, remainder 0.
- Bring down 5 to get 5. 5 ÷ 6 = 0, remainder 5.
Result: 140 R 5 (or 140.8333... as a decimal).
Frequently Asked Questions
How to do long division step by step?
Divide the leftmost digit(s) of the dividend by the divisor, write the quotient digit above, multiply back, subtract, then bring down the next digit. Repeat until no digits remain. The leftover is the remainder.
What is the difference between remainder and decimal division?
Remainder division stops when all digits are processed and reports the leftover (e.g., 7 R 2). Decimal division continues by adding zeros after the decimal point until the result terminates or you reach the desired precision.
Can you divide by a number larger than the dividend?
Yes. The quotient will be 0 with the entire dividend as the remainder (remainder mode), or a decimal less than 1 (decimal mode). For example, 3 ÷ 7 = 0 R 3 or approximately 0.4286.
Related Calculators
- Addition Calculator — traditional column addition with carry-overs.
- Grid Multiplication Calculator — multiply using the box/array method.
- Fraction Division Calculator — divide fractions with step-by-step work.
- Lattice Multiplication Calculator — multiply multi-digit numbers with the lattice method.
- Simplify Fraction Calculator — reduce fractions by dividing numerator and denominator.