Division

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.

Basic Division Vocabulary

• 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.

Division Symbols

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.

How to Do Division

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

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.

Division with Remainders

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

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.

Division Strategies

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.

Study Guide

Here are some steps to remember when doing division:

1. Identify the dividend and divisor.
2. Write the division problem using the division symbol or a fraction bar.
3. Divide the dividend by the divisor to find the quotient.
4. If there is a remainder, write it as a fraction or a whole number with the remainder.
5. 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!

[Division] Related Worksheets and Study Guides:

• AlgebraMathematics • Fourth Grade
• Word ProblemsMathematics • Fourth Grade
• DivisionMathematics • Sixth Grade