Division is one of the four operations. Given the product of two factors and a non-zero factor, the operation of finding another factor is called division. Division of two numbers is also called the ratio of two numbers. If ab=c(b≠0), the operation of finding another factor A by multiplying the product C and the factor B is division, which is marked as c÷b and pronounced as C divided by B (or B divided by C). Among them, c is called dividend, b is called divisor, and the result of a operation is called quotient.

Divider × quotient+remainder = dividend. Considering that division and multiplication are reciprocal operations, the meaning of multiplication is a simple operation to find the sum of multiple identical addends. This situation can also be interpreted as: the divisor subtracts the divisor until the remainder value is lower than the divisor.

Properties of division operation

1, the dividend is enlarged (reduced) by n times, and the quotient is correspondingly enlarged (reduced) by n times under the condition that the divisor is unchanged.

2. The divisor is expanded (reduced) by n times, while the dividend is unchanged, and the quotient is correspondingly reduced (expanded) by n times.

3. Nature of division: dividing the dividend by two divisors is equal to dividing by the product of these two divisors. Sometimes simple operations can be performed according to the nature of the division.

Division calculation method

Long division is suitable for integer division, decimal division, polynomial division (factorization), etc. It pays more attention to the calculation process and quotient division, and there are both multiplication and subtraction in the process. According to the multiplication table, two integers can be calculated with a long dividing pen. If the dividend has a decimal part, just bring the decimal point down when calculating; If the divisor has a decimal point, move the decimal points of the divisor and the dividend at the same time until the divisor has no decimal point. An abacus can also do division.

Short division is suitable for fast division, synchronous division of multiple integers (so it is often used to find the greatest common factor and the least common multiple), binary digital conversion and so on. , pay more attention to multiple tests and division of prime factors (serial multiplication). Most processes only need to use the multiplication table of 99 and a few multiplication factors of integers above 9.