Lesson - Divide Whole Numbers

Divide Whole Numbers

**Division is used to separate objects into equal groups.**

*Dividend ÷ Divisor = Quotient*

**Key Terms**

**The dividend is the number that needs to be divided.****The divisor shows the number of groups into which the dividend needs to be divided.****The quotient is the answer, or result of the division. It shows the number of objects that will be in each group.**

**If you multiply the quotient by the divisor, its product will be the dividend. (Multiplication is an inverse operation of division.)**

** because 6 ***(quotient)*** x 4 ***(divisor)*** = 24 ***(dividend)*

**Example**

**Here are some important quotients and properties of division:**

**Important Quotients**

*Any number, except zero, divided by itself is 1.*

*Any number divided by 1 is that number.*

**Properties of Zero in Division**

*Zero divided by any other number is zero.*

*Division by zero is not allowed.*

cannot be performed

There is no number whose product with 0 is 7.

**Other Ways to Express Division**

*42 divided by 7 equals 6*

* 42 / 7 = 6*

* *

**When the dividend is a larger whole number, the digits in the quotient are found in steps. It is possible to check the answer using multiplication.**

** **

**Example **

**Divide 844 by 5 and check.**

Division with Remainders

Sometimes it is not possible to separate objects into a whole number of equal groups. In these cases, a few items will be left over, or remaining.

**Practice**

1. Divide 56 by 8 and check.

2. Divide 72 by 9 and check.

3. Divide 6,345 by 9 and check.

4. Divide 2,808 by 8 and check.

5. Divide 5,225 by 6 and check.

6. Divide 21,409 by 7 and check.

7. Divide 27,438 by 9 and check.

8. Find 23,457 divided by 43. Round to the nearest hundred.

9. Mrs. Garcia has $32,196 she would like to will equally to 4 different charities. About how much will each charity receive?

**Answer Key**