Long Division Calculator
Enter a whole-number dividend and divisor to get the answer, place-value work, and a complete step transcript.
A remainder is compared with the divisor, so it may be greater than the quotient.
Long division work
Read the quotient above the matching dividend columns.
Manual copy
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How to read a long-division result
The calculator reports the quotient and remainder separately. It then verifies the exact whole-number relationship dividend = divisor × quotient + remainder and checks that 0 ≤ remainder < divisor. The remainder is never compared with the quotient.
Each worked step uses the same integer state as the final answer: divide the current partial value, multiply the quotient digit by the divisor, subtract, and bring down the next dividend digit. Leading zero positions are omitted, while an internal or trailing zero in the quotient stays visible to preserve place value.
Scope and limits
Inputs are limited to a dividend from 0 to 9999 and a divisor from 1 to 99, matching a bounded grade-school whole-number task. Decimal continuation, repeating decimals, polynomial division, handwriting recognition, worksheets, and AI tutoring are outside this version.
The calculation, transcript, clipboard text, and downloaded text file are created locally in your browser. Editing either input immediately retires the previous result so an old answer cannot be copied or downloaded as if it matched the new problem.
Frequently asked questions
Why can the remainder be larger than the quotient?
The remainder is compared with the divisor, not the quotient. In 23 ÷ 12 = 1 R 11, the remainder 11 is valid because it is at least zero and less than the divisor 12.
Why is there a zero in the quotient?
A zero keeps the correct place value after division has started. For 1205 ÷ 12, the quotient is 100 R 5; removing either zero would change the answer.
What happens when the dividend is smaller than the divisor?
The whole-number quotient is zero and the dividend becomes the remainder. For example, 5 ÷ 12 = 0 R 5.
Does this calculator continue into decimals?
No. Version 1 stops at a whole-number quotient and remainder. It does not append decimal zeros or generate repeating decimals.
Can it divide polynomials?
No. This calculator accepts a 0–9999 whole-number dividend and a 1–99 whole-number divisor. Polynomial long division is a different task.