Long Division Calculator: Your Simple Math Buddy

Unlike the plain division calculator, which returns a single decimal, this tool returns a whole-number quotient plus a remainder, and prints the subtraction steps a person would write out by hand.

Worked example: 325 ÷ 15

15 doesn't divide evenly into 325. 15 × 21 = 315, and 325 - 315 = 10, so the result is 21 remainder 10 — not 21.67, which is what a decimal division would show. The step display works through this the same way: it takes the leading digits of 325 one at a time, finds the largest multiple of 15 that fits, subtracts, and brings down the next digit, until every digit of the dividend has been used.

Quotient vs. remainder vs. decimal

325 ÷ 15 as a decimal is 21.6667. The long-division form (21 remainder 10) and the decimal form encode the same answer differently: 10/15 = 0.6667. Which form you want depends on the task — splitting 325 items into groups of 15 leaves 10 leftover (remainder form); measuring a continuous quantity calls for the decimal.

Edge case: divisor larger than the dividend

If the divisor is bigger than the dividend (e.g. 4 ÷ 15), the quotient is 0 and the remainder equals the dividend itself — the step output reflects that no whole multiple of the divisor fits.