Division

Test yourself

Division Using the Bus Stop Method

Bus stop set up

I want to work out 7,623 ÷ 3.
- I set up my 'bus stop' as you can see above.

Start with the 'thousands'

Start working from the biggest place value column.
This is different from methods of addition, subtraction and multiplication where you start with the 'ones'.

Illustrative background for 7,623 &div; 3

Illustrative background for 7,623 &div; 3 ?? "content

7,623 ÷ 3

For 7,623 ÷ 3, start with the 'thousands'.
Work out how many 3s there are in 7.
- There are two 3s in 7 with 1 remainder.
- The 2 goes on top of the bus stop in the 'thousands' column.
- The remainder 1 carries onto the 'hundreds' column.

Then onto the 'hundreds'

Work out how many 3s there are in 16.
- You work out how many 3s there are in 16 (NOT 6) because the 1 has carried from the 'thousands' column.
- There are five 3s in 16 with 1 remainder.
- The 5 goes on top of the bus stop in the 'hundreds' column.
- The remainder 1 carries onto the 'tens' column.

Then onto the 'tens'

Work out how many 3s there are in 12.
- You work out how many 3s there are in 12 (and not 2) because the 1 has carried from the 'hundreds' column.
- There are four 3s in 12 with no remainder.
- The 4 goes on top of the bus stop in the 'tens' column.
- There is no remainder so nothing is carried onto the 'ones' column.

Finally, onto the 'ones'

Work out how many 3s there are in 3.
- There is one 3s in 3 with no remainder.
- The 1 goes on top of the bus stop in the 'ones' column.

Getting your answer

The answer to 7,623 ÷ 3 is on top of the bus stop.

Division Using the Bus Stop Method with a Remainder

Bus stop set up

I want to work out 3,523 ÷ 3.
- I set up my 'bus stop' as you can see above.

Start with the 'thousands'

Start working from the biggest place value column.
This is different from methods of addition, subtraction and multiplication where you start with the 'ones'.

Illustrative background for 3,523 &div; 3

Illustrative background for 3,523 &div; 3 ?? "content

3,523 ÷ 3

For 3,523 ÷ 3, start with the 'thousands'.
Work out how many 3s there are in 3.
- There is one 3 in 3 with no remainder.
- The 1 goes on top of the bus stop in the 'thousands' column.

Then onto the 'hundreds'

Work out how many 3s there are in 5.
- There is one 3 in 5 with 2 remainder.
- The 1 goes on top of the bus stop in the 'hundreds' column.
- The remainder 2 carries onto the 'tens' column.

Then onto the 'tens'

Work out how many 3s there are in 22.
- You work out how many 3s there are in 22 (and not 2) because the 2 has carried from the 'hundreds' column.
- There are seven 3s in 22 with 1 remainder.
- The 7 goes on top of the bus stop in the 'tens' column.
- The remainder 1 carries onto the 'ones' column.

Finally, onto the 'ones'

Work out how many 3s there are in 13.
- You work out how many 3s there are in 13 (and not 3) because the 1 has carried from the 'tens' column.
- There are four 3s in 13 with 1 remainder.
- The 4 goes on top of the bus stop in the 'ones' column.
- There is 1 remainder at the end of the division.

The remainder

You could show your remainder as a fraction.
- The numerator (top number) of the fraction is the remainder.
- The denominator (bottom number) of the fractions is what you are dividing by.

Getting your answer

The answer to 3,523 ÷ 3 is on top of the bus stop.

1Year 5 - Number

1.1Number & Place Value

1.1.1The Value of Digits to Millions

1.1.2Smallest & Biggest Numbers to Millions

1.1.3Ordering Numbers to Millions

1.1.4Counting in Powers of 10

1.1.5Counting in Negative Numbers

1.1.6Rounding Numbers up to 1,000,000

1.1.7Reading Roman Numerals

1.2Addition & Subtraction

1.2.1Written Methods for Adding Large Numbers

1.2.2Written Methods for Subtracting Large Numbers

1.2.3Mental Addition & Subtraction

1.2.4Rounding to Check Your Answer

1.3Multiplication & Division

1.3.1Multiples

1.3.2Factors

1.3.3Prime Numbers

1.3.4Prime Factors

1.3.5Composite Numbers

1.3.6Factor Trees

1.3.7Multiplication by a 1 Digit Number

1.3.8Long Multiplication Using Column Method

1.3.9Times Tables

1.3.10Division

1.3.11Multiplying & Dividing by 10, 100 & 1,000

1.3.12Square & Cube Numbers

1.4Fractions & Decimals

1.4.1Compare & Order Fractions

1.4.2Identifying Equivalent Fractions

1.4.3Add & Subtract Fractions

1.4.4Mixed Numbers & Improper Fractions

1.4.5Multiplying Fractions by Whole Numbers

1.4.6Converting Between Decimals & Fractions

1.4.7Rounding Decimals

1.4.8Ordering Decimals

2Year 5 - Measurement

2.1Measures

2.1.1Metric Measurements

2.1.2Imperial Measurements

2.2Perimeter & Area

2.2.1Perimeter

2.2.2Area

2.3Time

2.3.1Units of Time

3Year 5 - Geometry

3.1Properties of 3D Shapes

3.1.1Types of 3D Shapes

3.1.2Faces, Edges & Vertices

3.2Properties of 2D Shapes

3.2.1Polygons

3.3Angles

3.3.1Angles in Degrees

3.3.2Types of Angle

3.3.3Finding Missing Angles

3.4Position & Direction

3.4.1Reflection & Translation

4Year 5 - Statistics

4.1Graphs

4.1.1Line Graphs

4.1.2Tables

4.1.3Timetables

5Year 6 - Number

5.1Number & Place Value

5.1.1The Value of Digits to Ten Millions

5.1.2Ordering Numbers to Millions

5.1.3Rounding

5.1.4Negative Numbers

5.2Multiplication & Division

5.2.1Multiplication by a 2 Digit Number

5.2.2Division

5.2.3Multiples

5.2.4Factors

5.2.5Primes

5.3Mental Maths

5.3.1Multiplying & Dividing by 10, 100 & 1,000

5.3.2Addition & Subtraction

5.3.3Adding & Subtracting 10, 100 & 1,000

5.3.4Multiplication & Division

5.4Order of Operations

5.4.1BIDMAS

5.5Problem Solving

5.5.1Addition & Subtraction Multi-step Problems

5.5.2Problem Solving with Proportion

5.6Fractions & Decimals

5.6.1Simplifying Fractions Using Equivalents

5.6.2Ordering Different Types of Fraction

5.6.3Adding & Subtracting Fractions

5.6.4Adding & Subtracting Mixed Numbers

5.6.5Multiplying Fractions

5.6.6Dividing Fractions by Whole Numbers

5.6.7Converting Between Decimals & Fractions

5.6.8Dividing Decimals

6Year 6 - Ratio & Proportion

6.1Ratio

6.1.1Using Ratios

6.1.2Simplifying Ratios

6.2Percentages

6.2.1Calculating Percentages

6.3Scale

6.3.1Scale of 2D Shapes

7Year 6 - Algebra

7.1Sequences

7.1.1Describing Sequences

7.1.2Finding Gaps in Sequences

7.2Missing Number Problems

7.2.1Missing Number Problems

7.3Equations

7.3.1Balancing Equations

7.3.2Combining Two Variables

8Year 6 - Measurement

8.1Problem Solving

8.1.1Problem Solving with Measures

8.2Unit Conversion

8.2.1Conversion Between Miles & Kilometres

8.3Perimeter, Area & Volume

8.3.1Area

8.3.2Volume

8.3.3Nets

8.3.4Faces, Edges & Vertices

8.4Angles

8.4.1Types of Angle

8.4.2Finding Missing Angles

8.4.3Finding Missing Angles in Triangles

8.4.4Vertically Opposite Angles

8.5Circles

8.5.1Parts of a Circle

8.6Coordinate Grids

8.6.1Positions on Coordinate Grids

8.6.2Reflection & Translation

9Year 6 - Statistics

9.1Displaying Data

9.1.1Pie Charts

9.1.2Line Graphs

9.2Averages

9.2.1Mean

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