What is the meaning of division?

The meaning of division is: the product of two factors and a non-zero factor is known, and the operation of finding another factor is called division.

Dividend = quotient; Dividend = divisor; Quotient divisor = dividend; There is a remainder: dividend γ divisor = quotient ... remainder (where the remainder is less than divisor), divisor× 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 value of the remainder is lower than the divisor. For example: 17÷5=3…2, that is, 17 subtracts three fives, leaving 2.

Operational nature of the Division:

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

The nature of division: continuous division by two divisors is equal to division by the product of these two divisors. Sometimes simple operations can be performed according to the nature of division. For example: 300 ÷ 25 ÷ 4 = 300 ÷ (25× 4) = 300 ÷100 = 3.