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.
在高等代数教课书中，关于多项式的除法运算中余项的确定是以余式定理为依据且利用带余除法进行的，这是大家所熟悉的。
In the textbook of higher algebra, it is familiar to us that the remainder in the division operation of polynomial is on the basis of residue theorem and operated through division algorithm.
该算法利用多项式带余除法的相关推论，通过矩阵的列变换来求解关键方程，这样可以快速地得到商式和余式，从而可以减少迭代运算的次数。
The proposed algorithm use the related deduction of division with reminder of polynomials and the key equation is solved by column transformation of matrix.
该算法利用多项式带余除法的相关推论，通过矩阵的列变换来求解关键方程，这样可以快速地得到商式和余式，从而可以减少迭代运算的次数。
The proposed algorithm use the related deduction of division with reminder of polynomials and the key equation is solved by column transformation of matrix.
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