本文原是北京师范大学严士健先生在北京市海淀区教师进修学校组织的报告会上所作的演讲的讲演稿。本文从带余数除法出发,推广到多项式环,欧氏环等讨论了类似问题,最后回过头来讨论了小学整数除法的理论根据。这对教师进修和教学都有参考价值,本刊征得作者同意发表如下。 This article was originally a speech delivered by Mr. Yan Shijian of Beijing Normal University at a report organized by the Teacher Training School of Haidian District, Beijing. This paper proceeds from the division of remainders to the polynomial ring, the Euclidean ring, etc. Discusses similar problems. Finally, I discuss the theoretical basis of integer division in primary schools. This has a reference value for the teacher’s further education and teaching. The author’s consent is published as follows.