Written Methods – Division

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Division
Written Methods
Written Methods
• Throughout their years at school, children
should progress from informal jottings and
number line methods to formal efficient
written methods.
• By the end of Year 3, children should be
confident using short efficient written
methods for all four operations + - x ÷
• Children become secure with these methods
with regular practice and should be able to
apply skills to problem solving.
Grouping/Sharing
• Children practice grouping and sharing using
practical resources. The language of division is
developed.
Sharing
30 crayons shared
equally between 3
pots
30 ÷ 3 = 10
Grouping/Sharing
• Children practice grouping and sharing using
practical resources. The language of division is
developed.
Grouping
We have 30 crayons
and put 10 in each
pot.
How many pots do
we need?
30 ÷ 10 = 3
Blank Number Line
• An empty number line let’s us show division
using multiplication tables and facts. We can
also show a remainder on a number line.
30 ÷ 5 = 6
1x5
0
Jump in lots of the divisor number (5)
2x5
5
3x5
10
15
31 ÷ 5 = 6
1x5
0
5
2x5
5x5
6x5
20 25 30
Jump in lots of the divisor number (5)
3x5
10
4x5
4x5
15
5x5
6x5
20 25 30
r1
31
Your Turn!
• Can you use the partitioning method to
solve these multiplications?
• 45 ÷ 5 =
• 32 ÷ 4 =
• 35 ÷ 3 =
Bus Stop Method
• Formal written layout otherwise known as bus
stop methods requires a good knowledge of
multiplication facts.
Known facts
24÷4=6
3 9 ÷ 3 = 13
6
4 24
13
3 39
How many 4’s in 24? 6
How many 3’s in 3? 1
How many 3’s in 9? 3
Bus Stop Method
• Formal written layout otherwise known as bus
stop methods requires a good knowledge of
multiplication facts.
56÷4=
14
1
4 56
How many 4’s in 5? 1 r1
How many 4’s in 16? 4
5 7 3 ÷ 4 = 13
1 4 3 r1
1 1
4 573
How many 4’s in 5? 1 r1
How many 4’s in 17? 4 r1
How many 4’s in 13? 3 r1
Bus Stop Method
Rules of Bus stop method
– Set out the sum
– How many times will the divisor go into the first number?
– How many times will the divisor go into the next number?
– Carry remainders to the next number
– Remainders at the end – r?
5 4 ÷3 =
3 54
Your Turn!
• Can you use the column method to solve
these multiplications?
•34÷3=
•56÷4=
•654÷3=
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