Use long division with decimal remainders | Maths | Quizalize & Oak National Academy

Starter quiz

Use the multiplication facts to derive 31 × 16 = ______

'496' ✓
Match the fractions with an equivalent fraction.

${1} \over{2}$

⇔

${32} \over{64}$ ✓

${1} \over{5}$

⇔

${13} \over{65}$ ✓

${7} \over{8}$

⇔

${49} \over{56}$ ✓
Match the fractions with an equivalent decimal.

${1} \over{2}$

⇔

0.5 ✓

${1} \over{5}$

⇔

0.2 ✓

${3} \over{4}$

⇔

0.75 ✓
Match the division equations to their simplified fraction remainders.

282 ÷ 4 = 70

⇔

${1} \over{2}$ ✓

646 ÷ 8 = 80

⇔

${3} \over{4}$ ✓

543 ÷ 9 = 60

⇔

${1} \over{3}$ ✓
Which of these correctly show the result with a simplified fraction remainder?

482 ÷ 16 = 31 ${2} \over{16}$

482 ÷ 16 = 30 ${1} \over{8}$ ✓

482 ÷ 16 = 32 ${1} \over{8}$
In June, one giraffe at the zoo ate 1,370kg of acacia leaves. How many kg did the giraffe eat each day? Which of these correctly show the result with a simplified fraction remainder?

1,370 ÷ 30 = 45 ${2} \over{3}$ ✓

1,370 ÷ 30 = 45 ${1} \over{2}$

1,370 ÷ 30 = 45 ${4} \over{5}$

Exit quiz

Match the different ways to represent a division remainder with their example.

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 ✓
Select the answer which would be best to use for the following question: 283 flamingos need to be shared between 4 different zoos, how many flamingos would there be at each zoo?

283 ÷ 4 = 70 r3 Remainder ✓

283 ÷ 4 = 70.75 Decimal Fraction

283 ÷ 4 = 70 ${3} \over{4}$ Simplified Fraction
Select the answer which would be best to use for the following question: It costs £283 per week to feed 4 sea lions at the zoo. How much does it cost to feed one sea lion each week?

283 ÷ 4 = 70 r3 Remainder

283 ÷ 4 = 70.75 Decimal Fraction ✓

283 ÷ 4 = 70 ${3} \over{4}$ Simplified Fraction
Select the answer which would be best to use: Some bears have cooked potatoes as part of their diet. 283 potatoes are shared equally between 4 bears, how many potatoes does each each bear have?

283 ÷ 4 = 70 r3 Remainder

283 ÷ 4 = 70.75 Decimal Fraction

283 ÷ 4 = 70 ${3} \over{4}$ Simplified Fraction ✓
Buddy’s dog food costs £561 per year. Buddy eats one bag of food each month. How much does one of Buddy’s food bags cost? Give your answer as a decimal in pounds. £______ per bag.

'46.75' ✓
Pratchett the tortoise walks 3.675km in June. How far did he walk each day? Give your answer as a decimal, in metres. ______ m per day.

'122.5' ✓

Worksheet

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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.

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.

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.