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 GuideDivision Activity LessonDivision Stars Activity LessonDivision Puzzles Activity LessonDividing 2-Digit Numbers Worksheet/Answer key

Division Worksheet/Answer key

Division Worksheet/Answer key

Division Worksheet/Answer keyDivision Worksheet/Answer keyColumns Across Worksheet/Answer keyDivision Riddles Worksheet/Answer keyDivision Picture - Boat Worksheet/Answer keyDivision Picture - Lunch

Number and Operations (NCTM)

Compute fluently and make reasonable estimates.

Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.

Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.

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.

Connections to the Grade 4 Focal Points (NCTM)

Number and Operations: Building on their work in grade 3, students extend their understanding of place value and ways of representing numbers to 100,000 in various contexts. They use estimation in determining the relative sizes of amounts or distances. Students develop understandings of strategies for multi-digit division by using models that represent division as the inverse of multiplication, as partitioning, or as successive subtraction. By working with decimals, students extend their ability to recognize equivalent fractions. Students' earlier work in grade 3 with models of fractions and multiplication and division facts supports their understanding of techniques for generating equivalent fractions and simplifying fractions.