# Divide whole numbers using long division

Lesson

Long division is the name given to a particular written process to work out the division of one number with another.

• The number to be divided into is known as the dividend
• The number which divides the other number is known as the divisor
• The answer, is called the quotient.

#### For example

If we have bigger or more complicated division calculations to do, we can use long division to do it on paper.

## The process

Long division is set up like this,

#### Worked Examples

##### Question 1

Evaluate $723\div3$723÷​3

1.  $\editable{}$ $\editable{}$ $\editable{}$ 3 7 2 3 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$

##### Question 2

Evaluate $7850\div25$7850÷​25

1.

 $\editable{}$ $\editable{}$ $\editable{}$ $2$2 $5$5 $7$7 $8$8 $5$5 $0$0 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$

##### Question 3

Evaluate $5642\div24$5642÷​24

1.  $\editable{}$ $\editable{}$ $\editable{}$ r $\editable{}$ $2$2 $4$4 $5$5 $6$6 $4$4 $2$2 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$

### Outcomes

#### NA4-1

Use a range of multiplicative strategies when operating on whole numbers
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