Polynomial Division Calculator
Enter the dividend and the divisor as coefficients from the highest power down.
This result is an estimate only. Double-check important figures before relying on them.
How it is calculated
- Repeatedly divide the leading terms and subtract the product from the dividend
- Stop when the remainder’s degree is below the divisor’s
To multiply instead, use the polynomial multiplication calculator.
Worked example
(x² − 5x + 6) ÷ (x − 2):
- Quotient x − 3
- Remainder 0, so x − 2 is a factor
Why your number may differ
Coefficients are decimals, so tiny rounding errors can appear with very large or fractional numbers.
Frequently asked questions
How does polynomial long division work?
Divide the leading terms, multiply back by the divisor, subtract, and repeat until what is left has a lower degree than the divisor.
What does a remainder of 0 mean?
The divisor is a factor of the dividend, so it divides exactly.
Can I divide by a quadratic?
Yes. Enter the divisor's three coefficients.