带余除法就是带有余数的除法，被除数=除数×商+余数。带余除法主要包括整数的带余除法和多项式的带余除法。其中，整数的带余除法定理为：对于任意的a,b(设a≥b且b≠0)，存在唯一的商q和余数r 使得a=bq+r。多项式的带余除法则与之类似。
...关键词: 矩阵; 广义迹; 分块矩阵; 带余除法 [gap=725]Key words: matrix; generalized trace; block-matrix; division algorithm ...
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Quaternion polynomialsWe put forward the concept of the irreducible quaternion polynomial and discuss its properties such as divisibility, factorization, division algorithm and the structures of root.
3．四元数多项式本文提出了不可约四元数多项式的概念，得到了四元数多项式的整除性质、因式分解、带余除法、根的结构性质等理论。
参考来源 - 矩阵多项式方程与可逆系统的典范分解·2,447,543篇论文数据，部分数据来源于NoteExpress
利用同余及带余除法解决：小数展开式最简单的分数；
In this paper, by means of the division algorithm and congruence, firstly we discuss the fractions with the simplest decimal expansions;
给出利用矩阵的初等变换的方法求带余除法中的商和余式，并讨论了其应用。
This paper is intended for introducing a way to calculate the quotient and remainder with matrix elementary transformation, and discussing its application.
基于矩阵多元多项式的带余除法，给出了代数情形多项式组特征列的一种新求法，并举例验证了这种方法的有效性。
Based on the pseudo-division algorithm for multivariate matrix polynomials, a new solving process of characteristic series for algebraic polynomial systems is given.
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