Online Long Division

This tool performs long division on integers to produce a quotient, a remainder, and an optional decimal expansion. It is designed for learners, educators, and professionals who need fast, exact results or to study the division method.

Conceptually, it applies Euclidean division and digit-by-digit decimal expansion by repeatedly bringing down zeros in the remainder. It supports negative operands, configurable decimal precision, and optional internal traces for verification.

Target users include students practicing arithmetic, teachers preparing worksheets, software testers, and engineers validating division logic. The engine provides deterministic results, scales to large operands, and avoids reliance on external services, enabling offline use and repeatable results.

Key features include input validation, clear outputs (quotient, remainder, and decimal digits), decimal expansion control, and repeating-decimal detection. Use cases include verifying a manual long-division example or algorithmic checks in data processing, finance, or educational contexts.