Grade 5 · Maths · Lessons
Long division by two digits
➗divide📦boxes🔢guess✅check
Long division.The big ideaRound the divisor to guess. Multiply back to check. Fix by one if it is off.
How it works
Round the divisor to guess. Multiply back to check. Fix by one if it is off.
Share each place, left to right.
What is left over is the remainder.
Example 1: Exactly
- A baker packs 462 rolls into boxes of 42. How many full boxes? How many left?
- Guess: 42 is about 40, and 462 is about 440.
- 42 × 11 = 462 exactly.
- So the answer is 11 r 0.
Example 2: A remainder
- A farm packs 4,027 eggs into trays of 72. How many full trays? How many left?
- 72 × 55 = 3960.
- 4027 − 3960 = 67 left.
- So the answer is 55 r 67.
Example 3: A bigger one
- A shop puts 3,885 pencils into packs of 18. How many full packs? How many left?
- 18 × 215 = 3870.
- 3885 − 3870 = 15 left.
- So the answer is 215 r 15.
Words to know
- quotient
- The answer to a division.
- remainder
- What is left over.
Watch out
- The remainder must be smaller than the divisor.
- If your guess is too big, try one less.
- Check: quotient × divisor + remainder = the start.
Try it
- A farm packs 1,064 eggs into trays of 87. How many full trays? How many left?
- A farm packs 444 eggs into trays of 32. How many full trays? How many left?
- A farm packs 5,494 eggs into trays of 98. How many full trays? How many left?
Answers: 1. 12 r 20 · 2. 13 r 28 · 3. 56 r 6
For grown-upsCheck any long division by multiplying back and adding the remainder.