Polynomial Long Division

Divide polynomials with quotient and remainder

About this calculator

The Polynomial Long Division calculator divides one polynomial by another and returns the quotient and remainder, with a worked long-division tableau that shows each elimination step. Enter coefficients highest power first. Useful for algebra, factoring, partial fractions, and finding asymptotes.

How to use the Polynomial Long Division calculator

  1. Enter the values for your problem into the input fields.
  2. Read the result — it updates instantly as you type.
  3. Check the formula and the visual explanation to follow how the answer was found.
  4. Copy the page URL to share the exact calculation.

Common examples

  • (x³ − 2x² + 5) ÷ (x − 3) → quotient x² + x + 3, remainder 14
  • (x² − 5x + 6) ÷ (x − 2) → quotient x − 3, remainder 0
  • (2x² + 3x − 2) ÷ (2x − 1) → quotient x + 2, remainder 0
  • (x² + 1) ÷ (2x) → quotient 0.5x, remainder 1

Frequently asked questions

How does the Polynomial Long Division calculator work?

Enter your values and the calculator applies the exact mathematical method for this problem, showing the result together with the formula it used. Everything is computed with high-precision arithmetic, so the answer you see is not limited by ordinary floating-point rounding.

When would I use the Polynomial Long Division calculator?

It is useful for homework and exam preparation, for checking work done by hand, and whenever a step in a larger problem needs this calculation done quickly and reliably.

How accurate are the results?

Calculations run at 30 significant digits of precision internally. Displayed values are rounded for readability, but the underlying result is far more precise than a typical hand or pocket-calculator computation.

Can I share a specific calculation with someone else?

Yes. Every value you enter updates the URL, so copying the address bar and sharing the link reopens the exact same calculation for whoever clicks it.