# How do you divide #7.332\div 3#?

##### 2 Answers

#### Explanation:

We first need to rewrite the numbers as fractions.

Now we know that when dividing by a fraction we can multiply by its reciprocal.

Now we need to find common factors that both

Now we can cancel the common factors because when divided by each other they equal to

*As a bonus we can rewrite the fraction back to a decimal.*

We can do this by making the denominator a power of 10.

#### Explanation:

# (3| 7 . 3 3 2)/(color(white)(xxx)color(red)(2.444)# Division by a single digit is usually set out as shown above.

The steps in the division are.

• 7 ÷ 3 =

#color(red)( 2)# remainder 1• Attach the remainder 1 to the 3 and treat as 13

• 13 ÷ 3 =

#color(red)( 4)# remainder 1• Attach this remainder 1 to the next 3 and treat as 13

• 13 ÷ 3 =

#color(red)( 4)# remainder 1• Attach the remainder 1 to the 2 and treat as 12

• 12 ÷ 3 =

#color(red)(4)# remainder 0When we reach a remainder of 0, the division is complete.

#rArr7.332÷3=2.444#