Division

What is Division?

Division is represented by the symbol "÷" or sometimes represented as a fraction.
Division involves breaking a number or quantity into equal parts or groups.
In a division problem, the number to be divided is called the dividend, and the number by which it is divided is called the divisor. For example, in 15 ÷ 3, "15" is the dividend, and "3" is the divisor.
The result of division is called the quotient. It represents the number of equal parts obtained after dividing the dividend by the divisor. In the previous example, the quotient is 5.
Division is the opposite or inverse operation of multiplication. Just as multiplication combines equal groups, division splits a number into equal groups.
Remainder: In some division problems, the dividend may not be divisible exactly by the divisor, leading to a remainder. The remainder is the amount left over after dividing as much as possible. For example, 17 ÷ 4 equals 4 with a remainder of 1. This remainder can be represented as a fraction (1/4), or as a decimal (0.25). By the end of Year 6, children will be able to choose an appropriate way to represent their remainders.

Step 1

Give out objects fairly and count how many each person was given

EYFS

Step 2

Sharing an even number with a friend

EYFS

Step 3

Finding half of an even number using objects

Share 6, 9, 12, 15 objects into 3 or between 3 people

Share 4, 8, 12, 16, 2 objects into 4 or between 4 people

Step 4

Share equally to solve division problems

End of year 1

Step 5

Making groups of 2, 5 and 10

End of year 1

Step 6

Finding how many altogether by counting through groups

Year 2

Step 7

Find out totals by counting in 2,5 and 10

Year 2: Focus on the 2, 5 and 10 times tables

Step 8

Solving division sentence using objects

Year 2: Focus on the 2, 5 and 10 times tables

Step 9

Solving division sentence using blocks with no remainders

Year 2: Focus on the 2, 5 and 10 times tables

Step 10

Solving division sentence using groups with remainders

Year 2: Focus on the 2, 5 and 10 times tables

Step 11

Solving division sentence using arrays with remainders

Year 2

Step 12

Using a timetable fact to solve division mentally (X2,3,4,5)

Year 3

Step 13

Using table facts to solve division with remainders

Year 3

Step 14

Combining 2 table facts to solve division (X2,3,4,5)

Year 3

Step 15

Combining 2 table facts to solve division with remainders (X2,3,4,5)

Year 3

Step 16

Using a table fact to solve division (X,6,7,8,9)

Year 3 for 6 and 8 times tables.

Year 4 for 7 and 9 times tables.

Step 17

Using a table fact to solve division with remainders (X,6,7,8,9)

Year 3 for 6 and 8 times tables.

Year 4 for 7 and 9 times tables.

Step 18

Combining table facts to solve division (X,6,7,8,9)

Year 3 for 6 and 8 times tables.

Year 4 for 7 and 9 times tables.

Step 19

Combining table facts to solve division with remainders (X,6,7,8,9)

Year 3 for 6 and 8 times tables.

Year 4 for 7 and 9 times tables.

Step 20

Using a multiplication fact to find a division fact (X 10)

Year 4

Step 20

2D ÷ 1D using multiples mentally

Year 4: Then do this with remainders

Step 21

3D ÷ 1D using multiples with remainders

Year 4: Do this first without remainders

Step 22

3D ÷ 2D using the coin method

Year 5

Step 23

4D ÷ 1D using Short method

Year 5

Step 24

4D ÷ 1D using factors

Year 5

Step 25

4D ÷ 2D using the coin method

Year 5

Step 26

1dp ÷ 1D using short column

Year 6

Step 27

1dp ÷ 1D using long column

Year 6

Step 28

4D ÷ 2D using coin method

Year 6: This method joins many multiples together

Step 29

4D ÷ 2D using short and long column no remainders

Year 6

Step 30

4D ÷ 2D using long column with remainders

Year 6

Step 31

4D ÷ 2D using short column with remainders

Year 6

Step 32

4D ÷ 2D using factors

Year 6

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