How To Divide Decimals

Divide Decimals By Decimals

Concept

Dividing with decimals works exactly like regular long division, with just one difference. When the dividend is a decimal number, put a decimal point right above the decimal in the answer section too.

Rules

When dividing a multi-digit dividend by a 1 or 2-digit divisor:
1. Place the divisor to the left of the dividend.
2. First, divide the first 2 digits of the dividend by the divisor. To do this, find a multiple of the divisor that is close to, by not greater than, the number.
3. Subtract the multiple from the 2-digit number and write the difference below it.
4. Bring down the third digit of the dividend and place it next to the difference, making a new 2-digit number.
5. Divide this new 2-digit number by the divisor. To do this, find a multiple of the divisor that is close to, by not greater than, the number.
6. The difference may be 0, or there may be a remainder.

Example

Solve
48.25 ÷ 15

Solution

Practice Dividing Decimals

Practice Problem 1

Divide.
How To Divide Decimals - Practice Problem 1

Practice Problem 2

Divide.
How To Divide Decimals - Practice Problem 2

Practice Problem 3

Divide.
Round the quotient to the nearest hundredths.
17.7 ÷ 7
How To Divide Decimals - Practice Problem 3

Practice Problem 4

Noah worked 12 hours last week. He grossed 100.20 dollars. How much does he earn per hour?
How To Divide Decimals - Practice Problem 4

Dividend – The number being divided.

Divisor – The number the dividend is being divided by.

Quotient – The answer to a division problem. In this case, a whole number.

Remainder – Sometimes a division problem doesn’t work out to a whole number. A number that is remaining is called the remainder.