For example, 60÷5= 12, then 12 is the quotient in this formula. For example, 60÷5= 12, then 12 is the quotient in this formula.
Law of quotient invariance and law of product variation
Law of quotient invariance
1. The divisor and divisor are expanded or reduced by the same multiple at the same time, and the quotient remains unchanged.
2. In division, the divisor is constant, the divisor is expanded (or reduced) several times, but the quotient is reduced (or expanded) by the same times.
3. In division, if the divisor remains the same, the dividend will be expanded (or reduced) several times, and the quotient will also be expanded (or reduced) by the same multiple.
Law of product change
When two factors are multiplied, one factor remains unchanged, how many times the other factor is expanded (or reduced), and the product is also expanded (or reduced) by the same multiple.
Relationship in division formula
In the division formula, the relationship between dividend, remainder, divisor and quotient is: (dividend-remainder) ÷ divisor = quotient, which is recorded as dividend ÷ divisor = quotient ... remainder, and then the quotient × divisor+remainder = dividend is derived.
Complete quotient and incomplete quotient
Quanshang
When the number A is divided by the number B (non-zero), its quotient is called complete quotient. For example, 9÷3=3, and 3 is the complete quotient.
Incomplete quotient
If the number A is divided by the number B (non-zero), the quotient obtained is incomplete. For example: 10 ÷ 3 = 3... 1, where 3 is an incomplete quotient.