Starter quiz
- Complete the equation: 13 ÷ 4 = 3 r ______
- '1' ✓
- Complete the equation: 386 ÷ 6 = ______ If there is a remainder, write this using r
- '64 r 2' ✓
- Select equivalent expressions with a product of 36
- 3 × 12 ✓
- 3 × 2 × 6 ✓
- 2 × 9 × 4
- 3 × 2 × 2 × 3 ✓
- 9 × 2 × 3
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- How could 1,008 be divided by 36?
- Divide 1,008 by 3 then divide by 12 ✓
- Divide 1,008 by 2 then divide by 3 then divide by 4
- Divide 1,008 by 9 then divide by 2 then divide by 2 ✓
-
Complete the missing expression from the box below- '3' ✓
Calculate the equation using long division.- '312' ✓
Exit quiz
What is the missing label in this division equation?- remainder ✓
- product
- factor
- expression
- answer
-
- Without calculating, select the expressions that will have a remainder.
- 1,000 ÷ 2
- 1,000 ÷ 3 ✓
- 1,000 ÷ 4
- 1,000 ÷ 5
- 1,000 ÷ 6 ✓
-
- Match the division equations to their quotients
- 210 ÷ 7 =⇔30 ✓
- 560 ÷ 8 =⇔70 ✓
- 630 ÷ 9 =⇔70 ✓
- 630 ÷ 7 =⇔90 ✓
- 560 ÷ 7 =⇔80 ✓
- Match the division equations to their remainders
- 211 ÷ 7 = 30⇔r1 ✓
- 562 ÷ 8 = 70⇔r2 ✓
- 633 ÷ 90 = 7⇔r3 ✓
- 634 ÷ 70 = 9⇔r4 ✓
- 565 ÷ 70 = 8⇔r5 ✓
- Which of the following is a reasonable estimate for the following equation. 7,526 ÷ 32 =
- 100
- 200
- 250 ✓
- 350
- 500
-
Calculate the equation using long division. If there is a remainder, write it using r.- '235 r6' ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- A remainder is always less than the divisor.
- The remainder, the part left over, is written after the quotient and represented with an ‘r’.
- Listing multiples of the divisor improves efficiency and accuracy with written division methods.
Common misconception
Pupils may not make efficient use of multiplication facts when answering long division problems, especially 10 or 100 times the divisor.
Encourage pupils to make estimations using multiplication facts. Once the multiplication facts are completed, they could be used to ask quick-fire questions (e.g. what is 20 × 18? 50 × 18? 200 × 18?)
Keywords
Long division - Long division is a method used for dividing large numbers by breaking the number down into smaller groups.
Remainder - A remainder is an amount left after a division.
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