Long Division Calculator

Reviewed by CalcMulti Editorial Team·Last updated: March 2026·← Algebra Hub

Long division is the standard algorithm for dividing a large number (the dividend) by another (the divisor) to produce a quotient and a remainder. The process works digit by digit from left to right, repeatedly performing: divide, multiply, subtract, bring down.

This calculator performs integer long division step by step, showing every intermediate step: the partial dividend, how many times the divisor goes in, the product to subtract, and the remainder that carries down. The result includes the quotient and the final remainder.

The relationship between the four parts of a division problem is: Dividend = Divisor × Quotient + Remainder. This can always be verified: multiply the divisor by the quotient and add the remainder — if it equals the original dividend, the division is correct. For example, 947 ÷ 24 = 39 remainder 11, because 24 × 39 + 11 = 936 + 11 = 947.

Long division extends naturally to polynomial division (dividing one polynomial by another), which is essential in algebra for factoring, simplifying rational expressions, and finding oblique asymptotes. The steps for polynomial long division follow exactly the same pattern — divide, multiply, subtract, bring down — just with polynomials instead of digits. Mastering integer long division builds the intuition needed for the algebraic version.