Traditional Culture Encyclopedia - Traditional culture - How to simplify division? What is the arithmetic of division?

How to simplify division? What is the arithmetic of division?

The relationship among divisor, dividend, quotient and remainder is as follows: divisor equals dividend minus remainder divided by quotient; Dividend equals divisor times quotient plus remainder; Quotient equals dividend minus remainder divided by divisor; The remainder is equal to the product of dividend minus sum quotient; The absolute value of the difference between the remainder and the divisor is less than the absolute value of the divisor.

Division is the product of a known factor and an unknown factor. To find the unknown factor, the common operation formula is that dividend divided by divisor equals quotient. Therefore, division is the inverse operation of multiplication, and division can also be regarded as an algorithm to subtract the divisor from the dividend continuously and find the number of times to subtract the divisor.

The relationship between divisor, dividend and quotient is as follows:

1, dividend = quotient (remainder)

2, dividend (remainder) ÷ quotient = divisor

3. Divider × quotient+remainder = dividend

4, quotient = (dividend-remainder) ÷ divisor

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.