Divide in stages
672 divided by 24 can be seen as 24 groups fitted step by step into 67, then 192.
| Stage | What happens |
|---|---|
| 67 | 2 groups of 24 fit |
| 192 | 8 groups of 24 fit |
Each stage uses the place value already brought down.
Year 6
Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders appropriately
Use long division to divide by a 2-digit number and decide what the remainder means in context.
Lesson overview
Number - addition, subtraction, multiplication and division
Long division breaks a larger number into smaller steps. At each stage we decide how many groups fit, subtract that amount, and bring down the next digit. A remainder may stay as a remainder, be rounded, or be used to find one more group depending on the problem.
Interpret the remainder
A remainder can mean something different in different problems.
exact division result
enough coaches needed
shared amount
Always return to the story context.
Worked example
Work out 672 divided by 24.
| Quotient | Check |
|---|---|
| 28 | 24 x 28 = 672 |
- 24 goes into 67 two times.
- Subtract 48 to leave 19, then bring down 2 to make 192.
- 24 goes into 192 eight times.
- So 672 divided by 24 is 28.
Try it
Work in stages and decide what any remainder means in the context.
Question 1
24 goes into 67 how many whole times?
Question 2
672 divided by 24 =
| Check |
|---|
| 24 x 28 = 672 |
Question 3
95 people travel in coaches that hold 24 each. How many coaches are needed?
Question 4
95 divided by 24 leaves a remainder of:
Question 5
Which is the best check for 672 divided by 24 = 28?
Common mistakes
Watch for these when working through the lesson.
- Guessing the next quotient digit without checking by multiplication.
- Forgetting to bring down the next digit.
- Leaving a remainder without thinking about what the problem is asking.
Related topics
These ideas fit closely with this lesson.
- Use long multiplication confidently.
- Use estimation to check answers to calculations.