Perform long division and see how many times the divisor fits into the dividend.
Overview
Long division is the pencil-and-paper algorithm for dividing whole numbers when mental math is impractical. It repeats divide, multiply, subtract, and bring down the next digit until no digits remain.
The fundamental identity Dividend = Divisor × Quotient + Remainder always holds. Remainder must be less than divisor magnitude for standard integer division. Decimal quotients extend the process with appended zeros and decimal points.
Students use long division to build number sense before fractions and algebra. Adults use it for quick checks when splitting costs or verifying spreadsheet integer division.
This calculator shows quotient and remainder so you can connect to fraction form Quotient + Remainder/Divisor, useful in recipes, inventory splits, and modular arithmetic introductions.
Steps
The number being divided.
The number you divide by (non-zero).
Run long division steps.
Whole-number part of the result.
What is left after whole divisions.
Write remainder/divisor if needed.
Math
Dividend = Divisor × Quotient + Remainder
Each step subtracts the largest multiple of the divisor that fits the current partial dividend, then brings down the next digit.
Worked cases
23×34=782, remainder 7
Quotient 34, remainder 7.
16×62=992, remainder 8
Quotient 62, remainder 8.
12×12=144
Quotient 12, remainder 0.
Why use this
Questions