Division is the process of splitting a number into equal parts. It is the opposite of multiplication. When you divide a number by another number, you are finding out how many times the second number can fit into the first number.

Division is often represented using the division symbol (÷) or by using a fraction bar. For example, 10 ÷ 2 or 10/2 both represent the division of 10 by 2.

- Dividend: The number 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 equally by the divisor

Let's look at an example: 15 ÷ 3.

In this case, 15 is the dividend and 3 is the divisor. When we divide 15 by 3, we get a quotient of 5 because 3 can fit into 15 five times with no remainder.

Just like addition, subtraction, and multiplication, division has its own set of properties. Some of the key properties of division include the commutative property, associative property, and distributive property.

There are various techniques for division, including long division, short division, and using a calculator. Each technique has its own advantages and is useful in different situations.

Now that you have learned about division, it's important to practice solving division problems to solidify your understanding. Try solving the following division problems:

- 24 ÷ 4
- 36 ÷ 6
- 45 ÷ 9

Remember to check your answers and understand any mistakes you might make along the way.

Study GuideDivision Worksheet/Answer key

Division Worksheet/Answer key

Division Worksheet/Answer key

Division

Connections to the Grade 6 Focal Points (NCTM)

Number and Operations: Students' work in dividing fractions shows them that they can express the result of dividing two whole numbers as a fraction (viewed as parts of a whole). Students then extend their work in grade 5 with division of whole numbers to give mixed number and decimal solutions to division problems with whole numbers. They recognize that ratio tables not only derive from rows in the multiplication table but also connect with equivalent fractions. Students distinguish multiplicative comparisons from additive comparisons.