##  [Polynomial Division](/polynomial-division) 

  ##  [Polynomial Division](https://algebra.quantumdictionary.io/polynomial-division-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The algorithm that, given a dividend and a nonzero divisor polynomial over a coefficient domain, produces a quotient polynomial and a remainder polynomial whose degree is strictly less than that of the divisor—provided the coefficient domain supports the required coefficient inverses (e.g., a field).