Division is a mathematical operation that is the opposite of multiplication. It is used to split a number into equal groups or to find out how many times one number can be subtracted from another number.

**Dividend:**The number that is being divided.**Divisor:**The number by which the dividend is being divided.**Quotient:**The result of the division.**Remainder:**The amount left over when the dividend cannot be divided evenly by the divisor.

There are a few different ways to write division:

**÷:**This symbol is called the division sign.**/:**A forward slash is also used to represent division.

Let's say we want to divide 12 by 3. Here's how we do it:

12 | ÷ | 3 | = | 4 |

In this example, 12 is the dividend, 3 is the divisor, and 4 is the quotient. This means that 12 divided by 3 equals 4.

Sometimes, the division doesn't come out evenly. For example, if we divide 13 by 5, we get:

13 | ÷ | 5 | = | 2 with a remainder of 3 |

In this example, 13 divided by 5 equals 2 with a remainder of 3. This means that 5 goes into 13 two times with 3 left over.

There are different strategies to help with division, such as:

**Repeated Subtraction:**Subtract the divisor from the dividend repeatedly until you cannot subtract anymore. The number of times you subtracted is the quotient.**Number Line:**Use a number line to help visualize the division process.**Arrays:**Use visual arrays to represent the division problem.

Here are some steps to remember when doing division:

- Identify the dividend and divisor.
- Write the division problem using the division symbol or a fraction bar.
- Divide the dividend by the divisor to find the quotient.
- If there is a remainder, write it as a fraction or a whole number with the remainder.
- Check your answer by multiplying the quotient and the divisor to see if it equals the dividend.

Remember to practice your division facts and use different strategies to solve division problems!

Study GuideDecimals/Fractions Activity LessonOrdering Decimals & Fractions Activity LessonPercent Grids Activity LessonFraction & Percent Circles Worksheet/Answer key

Decimals/Fractions Worksheet/Answer key

Decimals/Fractions Worksheet/Answer key

Decimals/Fractions Worksheet/Answer keyDecimals/Fractions Worksheet/Answer keyPercent Grids Vocabulary/Answer keyDecimals/Fractions

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Recognize and generate equivalent forms of commonly used fractions, decimals, and percents.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Grade 4 Curriculum Focal Points (NCTM)

Number and Operations: Developing an understanding of decimals, including the connections between fractions and decimals

Students understand decimal notation as an extension of the base-ten system of writing whole numbers that is useful for representing more numbers, including numbers between 0 and 1, between 1 and 2, and so on. Students relate their understanding of fractions to reading and writing decimals that are greater than or less than 1, identifying equivalent decimals, comparing and ordering decimals, and estimating decimal or fractional amounts in problem solving. They connect equivalent fractions and decimals by comparing models to symbols and locating equivalent symbols on the number line.