Division is the process of splitting a number into equal parts. It is the opposite of multiplication. In division, you start with a total amount and divide it into equal groups to find out how many are in each group.

The basic symbol for division is ÷, which is read as "divided by." The number being divided is called the *dividend*, the number you are dividing by is called the *divisor*, and the result is called the *quotient*. For example, in the division problem 12 ÷ 3 = 4, 12 is the dividend, 3 is the divisor, and 4 is the quotient.

There are different methods for performing division, including:

**Long Division:**This is a method for dividing large numbers. It involves several steps of division, multiplication, and subtraction to find the quotient.**Short Division:**This is a quicker method used for simple division problems, often with single-digit divisors.**Division with Arrays:**Using visual representations of arrays to understand division, especially for visual learners.

It's important to understand division facts, which are basic division problems that students should memorize. These include division facts for numbers 1 through 12, such as 12 ÷ 4 = 3 or 10 ÷ 2 = 5.

Division has several important properties, including:

**Identity Property:**The quotient of any number divided by 1 is the number itself. For example, 8 ÷ 1 = 8.**Zero Property:**The quotient of 0 divided by any nonzero number is 0. For example, 0 ÷ 5 = 0.**Property of Equality:**If a = b, then a ÷ c = b ÷ c for any nonzero number c.

Understanding division is important for solving a wide range of math problems and is a fundamental skill in arithmetic.

Study GuideDivision Activity Lesson

Flag Making Worksheet/Answer key

Division Worksheet/Answer key

Division Worksheet/Answer key

Division Worksheet/Answer keyMultiplication and Division Worksheet/Answer keyDivision Worksheet/Answer keyMultiplication and Division

Number and Operations (NCTM)

Understand meanings of operations and how they relate to one another.

Understand various meanings of multiplication and division.

Understand the effects of multiplying and dividing whole numbers.

Compute fluently and make reasonable estimates.

Develop fluency with basic number combinations for multiplication and division and use these combinations to mentally compute related problems, such as 30 x 50.

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.

Grade 3 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing understandings of multiplication and division and strategies for basic multiplication facts and related division facts

Students understand the meanings of multiplication and division of whole numbers through the use of representations (e.g., equal-sized groups, arrays, area models, and equal 'jumps' on number lines for multiplication, and successive subtraction, partitioning, and sharing for division). They use properties of addition and multiplication (e.g., commutativity, associativity, and the distributive property) to multiply whole numbers and apply increasingly sophisticated strategies based on these properties to solve multiplication and division problems involving basic facts. By comparing a variety of solution strategies, students relate multiplication and division as inverse operations.