The mathematical story of ancient division quotient in China: A multiplication and division method appeared in the early years of Northern Song Dynasty, which was further improved by Yang Hui. The advantage of addition is that the trial quotient is avoided by using the method of double complement, but the operation is more complicated for the dividend with more digits. Later generations improved it and summarized Jiugui Gukuo, which contains 44 formulas. Yang Hui quoted 32 phrases in "Nine Returns to New Enclosed" in his book "Multiplying and Dividing into Treasures", which were divided into three categories: "the return number is ten", "the return number is increased from the top" and "half is five".