# Functional Skills: Division

## Functional Skills: Division Revision

**Division**

**Division **is splitting up a number or object into pieces that are the same size. The most common method used to **divide** large numbers without a calculator is the **bus stop method**. If you have a calculator, then division problems are more straightforward, but can still be a little tricky – some questions need **whole number answers**.

Make sure you are happy with the following topics before continuing.

### The best way to start your level 2 maths revision isâ€¦...

The pre-assessment. This covers key areas from the level 2 maths exam and once completed will provide revision suggestions so you know what topics to focus on.Â

**When to Divide**

You need to know when a question requires you to **divide**. There are two things to look out for:

- Questions involving the words “
**divide**” or “**division**” or similar. - Questions involving the
**divide**sign, \div.

**Division** can also sneak into questions, for example through fractions or through wordy questions that give you a total and ask for a part of the total. This will be seen many times in this course.

## Follow Our Socials

Our Facebook page can put you in touch with other students of your course for revision and community support. Alternatively, you can find us on Instagram or TikTok where we're always sharing revision tips for all our courses.

**Bus Stop Method**

This method of **division** is called the **bus stop method**, because it looks like the shape of a bus stop. You can divide numbers to find whole number answers, decimal answers, or answers that have a remainder.

**Example:** Work out 288 \div 9, without using a calculator.

**Step 1:** Firstly, put the division into the **Bus Stop** seen below.

**Step 2:** See how many times 9 goes into the first digit, 2, which is \textcolor{limegreen}{0} times, so the \textcolor{red}{2} is carried to the next digit to make 28. The 0 goes above the bus stop.

**Step 3:** Next, see how many times 9 goes into 28. We know 3 \times 9=27, so 9 goes into 28 \textcolor{limegreen}{3} times with a remainder \textcolor{red}{1}, which is carried in front of the next digit to make 18. The 3 goes on top.

**Step 4:** Then, see how many times 9 goes into 18, which is \textcolor{limegreen}{2} times. The 2 goes above the bus stop.

So, the answer is,

288 \div 9 = \textcolor{blue}{32}

**Notes:**

If in the last step of the division the number does not divide into it fully, then we can either:

add a decimal point and extra 0‘s at the end of the number that is being divided

e.g. Calculate 315 \div 14

\;\;\;\;\;0\;2\;2\;.\;5 \\ 14\overline{\left) 3{}^31{}^35.{}^70 \right.}

or say the answer with a remainder on the end

e.g. Calculate 315 \div 14

\;\;\;\;\;\;\;\;\;\;\;\;0\;2\;2 \;\; \text{ r }Â 7 \\ 14\overline{\left)3{}^31{}^35 \right.}

### Struggling with division?

Take our functional skills maths level 2 assessment and see how you would score in the real exam.

**Dividing on a Calculator**

The **Bus Stop Method** is for **dividing** without a **calculator**.** Dividing** with a **calculator** is significantly simpler. All you do is type the digits of one number, then press the **divide** symbol \div, then type the digits of the other number, then press equals.

**Example:Â **Use a **calculator** to find 5040 **divided** by 336.

Press 5 then 0 then 4 then 0 then \div then 3 then 3 then 6 then =.

Your **calculator** should give an answer of 15.

**Dividing by \boldsymbol{10}, \boldsymbol{100}, \boldsymbol{1000}...**

**Dividing **by powers of 10 is very similar to **multiplying**, except instead of moving the decimal point to the **right**, you move it to the **left**. The amount of times you move the decimal point depends on the amount of **zeros**.

- To
**divide**by \textcolor{purple}{\boldsymbol{10}}, you move the decimal point**one**place to the left. - To
**divide**by \textcolor{purple}{\boldsymbol{100}}, you move the decimal point**two**places to the left. - To
**divide**by \textcolor{purple}{\boldsymbol{1000}}, you move the decimal point**three**places to the left.

**Remember:** For whole numbers the decimal point doesn’t look like it’s there, but it is. For example 25 can be written as 25.0

**Checking Your Answer**

**Dividing** is the opposite of **multiplying**. This means that, now we know how to do both, we can do one to **check** the other.

**Example:Â **Find 1536\div3, then perform a suitable **check** of your answer.

Use a **calculator** for this to find that 1536\div3=512

We can **check** this by **multiplying** 512 and 3 to make sure we get back to 1536

Use a **calculator** for this to find that 512\times3=1536

**Example:Â **Find 82\times21, then perform a suitable **check** of your answer.

Use a **calculator** for this to find that 82\times21=1722

We can **check** this by **dividing** 1722 by 21 to make sure we get back to 82

Use a **calculator** for this to find that 1722\div21=82

**Example 1:Â Division with Remainder**

Work out 67 \div 5, without using a calculator.

**[2 marks]**

Use the bus stop method shown before. However, there is now a remainder.

Therefore,

67 \div 5 = \textcolor{blue}{13} \text{\textcolor{black}{ r }} \textcolor{red}{2}

**Example 2: Division Problems**

Peter needs to buy some tiles for his bathroom. Tiles come in packs of 18, and he needs 99 tiles.

How many packs of tiles does Peter need?

**[2 marks]**

99 \div 18 = \textcolor{blue}{5.5}

He can’t buy \textcolor{blue}{5.5} packs of tiles, so the answer must be a whole number.

There wont be enough tiles if he buys 5 packs (since 5 \times 18 = 90), so he will need to buy \textcolor{blue}{6} packs and have 9 left over.

**Example 3: Dividing by \boldsymbol{10}, \boldsymbol{100}, \boldsymbol{1000}...**

Calculate:

**a)** 48.6\div10

**b)** 5694\div100

**c)** 32140\div1000

**[3 marks]**

## Functional Skills: Division Example Questions

**Question 1:** Calculate 225 \div 15, without using a calculator.

**[2 marks]**

Use the bus stop method:

\;\;\;\;\;0\;1\;5\\15\overline{\left)2{}^22{}^75\right.}

So, 225 \div 15 = 15

**Question 2:** Calculate 4320 \div 160, without using a calculator.

**[2 marks]**

Use the bus stop method:

\;\;\;\;\;\;\;0\;\;0\;\;2\;\;7\\160\overline{\left)4{}^43{}^{43}2{}^{112}0\right.}

So, 4320 \div 160 = 27

**Question 3:** For a school trip, one coach holds 75 people. There are 456 people going on the school trip.

How many coaches are needed altogether?

**[2 marks]**

456 \div 75 = 6.08

There can’t be 6.08 coaches, since the number of coaches needs to be a whole number.

6 coaches would not be enough to hold everyone (since 6 \times 75 = 450), so they need 7 coaches.

**Question 4: **Calculate the following:

**a)** 314.3\div10

**b)** 89741.1\div1000

**c)** 4563281\div100000

**[3 marks]**

a) Dividing by 10 means we move the decimal point one place to the left.

So

314.3\div10=31.43

b) Dividing by 1000 means we move the decimal point three places to the left.

So

89741.1\div1000=89.7411

c) Dividing by 100000 means we move the decimal point five places to the left.

So

4563281\div100000=45.63281

## Functional Skills: Division Worksheet and Example Questions

### Division EL3

Entry Level 3NewOfficial PFS### Division L1

FS Level 1NewOfficial PFS### Division L2

FS Level 2NewOfficial PFS[responsive-flipbook id=”pfs_pocket_revision_guide_-_sample”]

## Revision Products

### Functional Skills Maths Level 2 Pocket Revision Guide

Revise and practice for your functional skills maths level 2 exam. All topics covered in this compact revision guide.

### Functional Skills Maths Level 2 Mini Tests

Practice for your functional skills Maths level 2, questions from every topic included.

### Functional Skills Maths Level 2 Revision Cards

Revise for functional skills maths level 2 easily and whenever and wherever you need. Covering all the topics, with revision, questions and answers for every topic.

### Functional Skills Maths Level 2 Practice Papers

This 5 set of Functional Skills Maths Level 2 practice papers are a great way to revise for your Functional Skills Maths Level 2 exam. These practice papers have been specially tailored to match the format, structure, and question types used by each of the main exam boards for functional skills Maths. Each of the 5 papers also comes with a comprehensive mark scheme, so you can see how well you did, and identify areas to improve on.

### Functional Skills Maths Level 2 Practice Papers & Revision Cards

This great value bundle enables you to get 5 functional skills maths level 2 practice papers along with the increasingly popular flashcard set that covers the level 2 content in quick fire format.