What you need to know

Things to remember:

  • The bust stop method for division can be used to create decimals.
  • The remainder can be used to tell us what the decimal will be.

What is 67\div5?

How do we usually divide numbers? The bust stop method! So, let’s set up our bus stop for this question.

 

 

But we know how to do this, so let’s give it a go.

 

 

We now have two methods for how to use this remainder.

Method 1: Turn the remainder into a fraction.

So, why do we have a remainder of a 2? Because we are trying to divide it by 5, but 5 won’t go into 2.

2\div5

But, we know that we can write divisions as fractions, which is the first step of Method 1.

Step 1: Write the remainder as a fraction with the number you’re dividing by on the bottom.

2\div5 =\frac{2}{5}

And we know how to turn this fraction into a decimal, which is Step 2.

Step 2: Write the fraction as a decimal.

\frac{2}{5}=0.4

Step 3: Add the whole number part of the bus stop and the decimal in Step 2 together.

23+0.4=13.4

67\div5 =13.4

Method 2: Continue the bus stop method into a decimal.

Instead of having a remainder, we can carry it over to the next number. But, where do we carry it to? There is nowhere for it to go? We just add a decimal point and a 0.

Example Questions

Question 1: Use Method 1 to find the value of 23\div4.

Answer

 

Step 1: Write the remainder as a fraction with the number you’re dividing by on the bottom.

 

3\div4 =\frac{3}{4}

 

And we know how to turn this fraction into a decimal, which is Step 2.

 

Step 2: Write the fraction as a decimal.

 

\frac{3}{4}=0.75

 

Step 3: Add the whole number part of the bus stop and the decimal in Step 2 together.

 

5+0.75=5.75

 

23\div4 =5.75

Question 2: Use Method 2 to find the value of 23\div5

Answer

 

23\div5=4.6