Division is an operation that splits a number into equal parts or groups. The number being divided is called the dividend, the number by which it is being divided is called the divisor, and the result is called the quotient.

To perform basic division, use the following steps:

- Place the dividend inside the division bracket, and the divisor outside the bracket.
- Start by dividing the leftmost digit of the dividend by the divisor.
- If the divisor is greater than the first digit of the dividend, continue to the next digit until the divisor is less than the dividend.
- Write the quotient above the division bracket and multiply the divisor by the quotient.
- Subtract the product from the part of the dividend you have not yet divided.
- Bring down the next digit of the dividend and repeat the process until there are no digits left to bring down.
- The final result is the quotient.

Let's divide 456 by 6:

7 6 | 456 - 42 --- 36 36 --- 0

In this example, the quotient is 76, and there is no remainder. The result is a whole number.

Sometimes, when you divide, the division does not result in a whole number. In this case, you will have a remainder. The remainder is the amount left over after dividing as much as possible. You can express the remainder as a fraction or a decimal.

Here are some important concepts to remember when studying division:

- Understand the relationship between the dividend, divisor, and quotient.
- Practice basic division with single-digit divisors to build a strong foundation.
- Learn how to express remainders as fractions or decimals.
- Explore real-world problems that can be solved using division.
- Master long division for dividing larger numbers.

Remember, division is the opposite of multiplication. Understanding division will help you strengthen your overall math skills.

.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.