<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />

# Division of Decimals by Whole Numbers

## Decimal in quotient directly above decimal in dividend

%
Progress

MEMORY METER
This indicates how strong in your memory this concept is
Progress
%
Division of Decimals by Whole Numbers

Jack has 15.62 yards of fabric leftover from a project. He wants to make blankets and donate them to the animal shelter. He thinks he can make 11 blankets. How long will each blanket be?

In this concept, you will learn how to divide decimals by whole numbers.

### Dividing Decimals by Whole Numbers

To divide means to split up into equal parts. Dividing a decimal number means splitting up the decimal value into sections.

Here is a division problem.

In this problem, 4.64 is the dividend. The dividend is the number being divided. The divisor is the number of parts the dividend is being divided into. The divisor is 2. Remember that the divisor goes outside of the division box in long division.

Dividing a decimal is similar to whole number division. First, divide the 2 into each number. Ignore the decimal for now.

Then, insert the decimal point into the quotient. Bring the decimal point from its place in the division box directly up into the quotient.

The quotient of 4.64 divided by 2 is 2.32.

### Examples

#### Example 1

Earlier, you were given a problem about Jack and blankets.

Jack wants to make 11 blankets from 15.62 yards of fabric. Divide 15.62 by 11 to find the length of each blanket.

First, ignore the decimal and divide as if this were two whole numbers.

Then, add decimal point into the quotient. Bring the decimal point from its place in the division box up into the quotient.

Each blanket will be 1.42 yards long.

#### Example 2

Find the quotient.

First, ignore the decimal and divide as if this were two whole numbers.

Then, add decimal point into the quotient. Bring the decimal point from its place in the division box up into the quotient.

Find the quotient for the following problems.

#### Example 3

First, ignore the decimal and divide as if this were two whole numbers.

Then, add decimal point into the quotient. Bring the decimal point from its place in the division box up into the quotient.

The quotient of 36.48 divided by 12 is 3.04.

#### Example 4

First, ignore the decimal and divide as if this were two whole numbers.

Then, add decimal point into the quotient. Bring the decimal point from its place in the division box up into the quotient.

The quotient of 2.46 divided by 3 is 0.82.

#### Example 5

First, ignore the decimal and divide as if this were two whole numbers.

Then, add decimal point into the quotient. Bring the decimal point from its place in the division box up into the quotient.

The quotient of 11.5 divided by 5 is 2.3.

### Review

Find the quotient for the following problems.

1.
2.
3.
4.
5.

To see the Review answers, open this PDF file and look for section 4.10.

### Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes

### Vocabulary Language: English

Divide

To divide is split evenly into groups. The result of a division operation is a quotient.

Dividend

In a division problem, the dividend is the number or expression that is being divided.

divisor

In a division problem, the divisor is the number or expression that is being divided into the dividend. For example: In the expression $152 \div 6$, 6 is the divisor and 152 is the dividend.

Quotient

The quotient is the result after two amounts have been divided.