Definition
Decimal division
Decimal division finds a quotient when a dividend, divisor, or quotient is written in decimal notation.
What it means
Think about what is being shared or how many equal groups fit. Rename the amount in useful place-value pieces when that makes sharing easier. If the divisor is a decimal, multiplying both numbers by the same power of ten can make an equivalent whole-number division.
Remember it
Rename the amount, then share or group it—without changing the value.
Example
7.5 ÷ 3 = 2.5. Rename 7.5 as 75 tenths. Sharing 75 tenths equally among 3 groups gives 25 tenths in each group, and 25 tenths is 2.5.
Watch for
Multiplying both the dividend and divisor by the same nonzero power of ten keeps the quotient unchanged: 4.8 ÷ 0.6 = 48 ÷ 6 = 8.
Common mix-up
Division does not always make a positive number smaller. Dividing by a positive number less than 1 can make the quotient larger.
Exact meaning
Decimal division is division in which the dividend, divisor, or quotient is written in decimal notation. It can represent equal sharing, equal grouping, or scaling, and place value determines the exact size of the quotient.