Use long division with decimal remainders
I can use long division and give the remainder as a decimal.
Use long division with decimal remainders
I can use long division and give the remainder as a decimal.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Fraction and decimal equivalence can be used to convert fraction remainders to decimals.
- 1 one is equivalent to 10 tenths so a 1 can be exchanged for 10 tenths in the tenths column.
- Continue to regroup until the number of the decimal fraction is a multiple of the divisor.
Keywords
Remainder - A remainder is an amount left after a division.
Decimal - A decimal number has a decimal point followed by digits that show the fractional part.
Equivalent - Equivalent refers to when two or more things have the same value.
Common misconception
Pupils do not convert fractions to decimals accurately.
Take time to remind pupils about key equivalences such as one-half is 0.5 and one-fifth is 0.2 Pupils can use these to check the reasonableness of their answers.
To help you plan your year 6 maths lesson on: Use long division with decimal remainders, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 6 maths lesson on: Use long division with decimal remainders, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Multiplying and dividing by 2-digit numbers unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Equipment
Licence
Lesson video
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Starter quiz
6 Questions
$$ {1} \over{2}$$ -
$$ {32} \over{64}$$
$$ {1} \over{5}$$ -
$$ {13} \over{65}$$
$$ {7} \over{8}$$ -
$$ {49} \over{56}$$
$$ {1} \over{2}$$ -
0.5
$$ {1} \over{5}$$ -
0.2
$$ {3} \over{4}$$ -
0.75
282 ÷ 4 = 70 -
$$ {1} \over{2}$$
646 ÷ 8 = 80 -
$$ {3} \over{4}$$
543 ÷ 9 = 60 -
$$ {1} \over{3}$$
Exit quiz
6 Questions
As a remainder -
282 ÷ 4 = 70 r2
As a simplified fraction -
282 ÷ 4 = 70 $$ {1} \over{2}$$
As a decimal fraction -
282 ÷ 4 = 70.5