Box Division interactive worksheet - Free Printable

Let’s solve each problem step by step using the box method for division. The box method breaks down the dividend (the number being divided) into parts that are easy to divide by the divisor (the number you’re dividing by). We’ll fill in the boxes with how many times the divisor fits into each part, then add those numbers together to get the final answer.

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Problem 1: 96 ÷ 3

We break 96 into two parts: 90 and 6 (since 9 is in the tens place and 6 is in the ones place).

- How many times does 3 go into 90? → 3 × 30 = 90 → so we write 30 under the 9.
- How many times does 3 go into 6? → 3 × 2 = 6 → so we write 2 under the 6.

Now add them: 30 + 2 = 32

✔ Check: 3 × 32 = 96 → Correct!

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Problem 2: 886 ÷ 2

Break 886 into 800, 80, and 6.

- 2 goes into 800 → 2 × 400 = 800 → write 400
- 2 goes into 80 → 2 × 40 = 80 → write 40
- 2 goes into 6 → 2 × 3 = 6 → write 3

Add them: 400 + 40 + 3 = 443

✔ Check: 2 × 443 = 886 → Correct!

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Problem 3: 84 ÷ 3

Break 84 into 60 and 24 (because 3 doesn’t go evenly into 80, but it does into 60 and 24).

Wait — actually, looking at the box setup, they’ve split it as 8 (tens) and 4 (ones), which means 80 and 4. But 3 doesn’t go evenly into 80 or 4. So let’s adjust to make it work with the box method shown.

Actually, the box shows “8” and “4”, meaning 80 and 4. Let’s do it properly:

We can think of 84 as 60 + 24 (both divisible by 3).

But since the box has two sections labeled 8 and 4, maybe they want us to treat it as 80 and 4? That won’t divide evenly. Let me recheck.

Wait — perhaps the box is meant to be filled with partial quotients. Let’s try:

Start with 80: 3 × 20 = 60 → subtract from 80 → remainder 20
Then bring down the 4 → now we have 24
3 × 8 = 24

So total quotient: 20 + 8 = 28

Alternatively, if we use the box as shown (with 8 and 4), we might need to regroup.

Actually, let’s do it cleanly:

84 ÷ 3:

- 3 × 20 = 60 → subtract from 84 → left with 24
- 3 × 8 = 24 → done

Total: 20 + 8 = 28

✔ Check: 3 × 28 = 84 → Correct!

In the box, if it’s split as 8 and 4, we might write 20 under the 8 (for 60) and 8 under the 4 (for 24)? But that’s not standard. Maybe the box is just a visual aid. Since the problem says “box method”, and the boxes are drawn with digits above, I think we’re supposed to divide each digit group.

Actually, let’s look again: In problem 1, 96 was split as 9 and 6 → 90 and 6 → divided by 3 → 30 and 2.

Similarly, here 84 → 8 and 4 → 80 and 4.

But 80 ÷ 3 is not whole. So we must adjust.

Better approach: Use friendly numbers.

84 = 60 + 24

60 ÷ 3 = 20
24 ÷ 3 = 8
Total = 28

So even though the box says 8 and 4, we interpret it as breaking 84 into parts that are divisible by 3.

I think for consistency, we’ll go with 28.

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Problem 4: 964 ÷ 4

Wait — the problem says “96 4÷ 4 =” — probably a typo, should be 964 ÷ 4.

And the box has three sections: 9, 6, 4 → so 900, 60, 4.

Let’s divide each part by 4:

- 900 ÷ 4 → 4 × 200 = 800 → remainder 100 → too big? Wait, better to do step by step.

Actually, 4 × 200 = 800 → subtract from 900 → 100 left? No, we’re dividing the whole number.

Better: Break 964 into parts divisible by 4.

964 = 800 + 160 + 4

- 800 ÷ 4 = 200
- 160 ÷ 4 = 40
- 4 ÷ 4 = 1

Total: 200 + 40 + 1 = 241

Check: 4 × 241 = 964 → Yes! 4×200=800, 4×40=160, 4×1=4 → 800+160+4=964.

Perfect.

But the box shows 9, 6, 4 — so perhaps they expect:

- 900 ÷ 4 → 4 × 225 = 900? But 225 is not single digit per box.

Wait — in the box method as shown in problem 1 and 2, they put one digit per box and divide that place value.

For 964 ÷ 4:

Hundreds place: 9 ÷ 4 → 4 × 2 = 8 → write 2 in hundreds box, remainder 1 hundred = 10 tens

Tens place: 10 tens + 6 tens = 16 tens → 16 ÷ 4 = 4 → write 4 in tens box

Ones place: 4 ÷ 4 = 1 → write 1 in ones box

So quotient is 241.

Yes! That matches.

So for the box:

Under 9 (hundreds): 2 (meaning 200)

Under 6 (tens): but wait, after carrying over, it's 16 tens → so 4 (meaning 40)

Under 4 (ones): 1

So the boxes would have 2, 4, 1 → making 241.

Perfect.

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Now let’s summarize all answers:

1) 96 ÷ 3 = 32
2) 886 ÷ 2 = 443
3) 84 ÷ 3 = 28
4) 964 ÷ 4 = 241

All checked and correct.

Final Answer:
32, 443, 28, 241