Exact univariate polynomial division

Polynomial Long Division Calculator

Divide one polynomial in x by a general nonzero polynomial and show the exact quotient, remainder, and long-division steps.

All inputs, timing samples, device events, audio state, and results stay in this browser tab. Nothing is uploaded, persisted, placed in the URL, or sent to analytics.

Enter polynomials

Supports x, integer exponents 0–100, omitted coefficient 1, missing degree terms, and exact finite decimal coefficients. Up to 200 entered terms are accepted per polynomial.

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Method

Finite decimal coefficients become exact rational numbers. Reconstruction independently verifies dividend = divisor × quotient + remainder with zero tolerance because rational arithmetic is exact.

Limitations

Only univariate polynomials in x are supported. No negative or fractional exponents, other variables, functions, symbolic parameters, factoring, roots, graphing, calculus, or general computer-algebra behavior.

Privacy

No account, server calculation, fetch, XHR, beacon, cookie, local storage, session storage, IndexedDB, device identifier, or user-value telemetry is used.

Related tool

Synthetic Division Calculator serves a different user job.