Dividing is the process of splitting a number into equal parts or groups. It is the opposite operation of multiplication. When dividing, we are trying to determine how many times one number (the divisor) can be subtracted from another number (the dividend) without resulting in a negative number.

- Set up the division problem with the dividend inside the division symbol and the divisor outside the symbol. For example:
`25 ÷ 5`

- Start dividing the leftmost digit of the dividend by the divisor. If the divisor is greater than the first digit, continue to the next digit until a number greater than the divisor is found.
- Write the quotient above the line and the remainder, if any, next to the dividend.
- If there are more digits in the dividend, bring down the next digit and continue the process until the entire dividend is divided.

Long division is a method used for dividing multi-digit numbers. It involves a series of steps to find the quotient and remainder.

division-example.png" alt="Long Division Example">- Dividend: The number being divided.
- Divisor: The number that divides the dividend.
- Quotient: The result of the division.
- Remainder: The amount left over when the division is not exact.

Let's practice some division problems:

It's important to remember these rules when dividing:

.Study GuideRational numbers and operations Worksheet/Answer key

Rational numbers and operations Worksheet/Answer key

Rational numbers and operations Worksheet/Answer key

Rational numbers and operations

Number and Operations (NCTM)

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

Work flexibly with fractions, decimals, and percents to solve problems.

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

Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers.

Compute fluently and make reasonable estimates.

Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods.

Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.