3-Digit by 2-Digit Long Division with Remainders with Grid ... - Free Printable

Let’s solve each long division problem step by step. We’ll go one at a time, carefully checking our work.

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Problem 1: 374 ÷ 17

We ask: How many times does 17 go into 37?
→ 17 × 2 = 34 → write 2 above the 7 in 374.
Subtract: 37 - 34 = 3. Bring down the 4 → now we have 34.
How many times does 17 go into 34?
→ 17 × 2 = 34 → write 2 next to the first 2.
Subtract: 34 - 34 = 0.
✔ Answer: 22

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Problem 2: 868 ÷ 33

How many times does 33 go into 86?
→ 33 × 2 = 66 → too small
→ 33 × 3 = 99 → too big
So try 2 → write 2 above the 6 in 868.
Subtract: 86 - 66 = 20. Bring down the 8 → 208.
How many times does 33 go into 208?
→ 33 × 6 = 198 → write 6 next to the 2.
Subtract: 208 - 198 = 10.
No more digits to bring down → remainder is 10.
But since this worksheet says “calculate each quotient,” and grids are provided (which usually expect whole number answers), let’s check if we made a mistake.

Wait — maybe it divides evenly? Let’s double-check:

33 × 26 = 33×20 + 33×6 = 660 + 198 = 858 → 868 - 858 = 10 → still remainder 10.

Hmm… but looking at other problems, they might all divide evenly. Let me recheck the problem: 868 ÷ 33.

Actually, 33 × 26 = 858 → 868 - 858 = 10 → not even.

Wait — perhaps I misread the dividend? The image shows 868. But let’s hold on — maybe I should do exact division with remainder or see if it's meant to be exact.

Looking ahead — Problem 3: 446 ÷ 22 → 22×20=440 → 446-440=6 → remainder 6.

This suggests some may have remainders. But the grid format often expects you to write the full answer including remainder or decimal? However, for grade school level, sometimes they just want the whole number part.

But wait — let’s look again at the original image description — it says “Calculate each quotient.” In math, “quotient” can mean the result of division, which may include remainder or decimal.

However, given that these are set up with grids (like graph paper for alignment), and no instruction about remainders, perhaps they are designed to divide evenly? Let me test Problem 3.

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Problem 3: 446 ÷ 22

22 × 20 = 440 → 446 - 440 = 6 → so quotient is 20 R6.

But 22 × 20.27...? Not nice.

Wait — maybe I miscalculated earlier problems?

Let me start over and do them all carefully, assuming we’re to find the whole number quotient and possibly note remainder — but since the grid has space for multiple digits, likely expecting multi-digit whole numbers.

Alternatively — perhaps I should just compute each as integer division and report the quotient (whole number part) and remainder if needed.

But let’s check Problem 4: 405 ÷ 65

65 × 6 = 390 → 405 - 390 = 15 → quotient 6 R15

Problem 5: 626 ÷ 25 → 25×25=625 → 626-625=1 → quotient 25 R1

Problem 6: 552 ÷ 37 → 37×14=518, 37×15=555 → too big → 37×14=518 → 552-518=34 → quotient 14 R34

Problem 7: 273 ÷ 24 → 24×11=264 → 273-264=9 → quotient 11 R9

Problem 8: 237 ÷ 11 → 11×21=231 → 237-231=6 → quotient 21 R6

Problem 9: 404 ÷ 33 → 33×12=396 → 404-396=8 → quotient 12 R8

None of these divide evenly except possibly the first one.

Wait — Problem 1 was 374 ÷ 17 = 22 exactly — yes, 17×22=374.

Let me verify that: 17×20=340, 17×2=34, total 374 — correct.

Now Problem 2: 868 ÷ 33 — let me calculate 33×26=858, as before, 868-858=10 — not zero.

But what if the problem is 891 ÷ 33? 33×27=891 — but it’s written as 868.

Perhaps there’s a typo? Or maybe I need to accept remainders.

But looking back at the user’s image description — it’s from Math-Drills.com, and titled “Long Division with a Grid (A)” — typically such worksheets have problems that divide evenly to avoid confusion with remainders at this stage.

Let me double-check each problem’s numbers from the image description:

From your text:

First row:
17 ) 374 → 374÷17=22 ✔️
33 ) 868 → 868÷33=?
22 ) 446 → 446÷22=?

Second row:
65 ) 405
25 ) 626
37 ) 552

Third row:
24 ) 273
11 ) 237
33 ) 404

Let me calculate each precisely:

1. 374 ÷ 17 = 22 (exact)

2. 868 ÷ 33:
33 * 26 = 858
868 - 858 = 10 → quotient 26, remainder 10

3. 446 ÷ 22:
22 * 20 = 440
446 - 440 = 6 → quotient 20, remainder 6

4. 405 ÷ 65:
65 * 6 = 390
405 - 390 = 15 → quotient 6, remainder 15

5. 626 ÷ 25:
25 * 25 = 625
626 - 625 = 1 → quotient 25, remainder 1

6. 552 ÷ 37:
37 * 14 = 518
552 - 518 = 34 → quotient 14, remainder 34

7. 273 ÷ 24:
24 * 11 = 264
273 - 264 = 9 → quotient 11, remainder 9

8. 237 ÷ 11:
11 * 21 = 231
237 - 231 = 6 → quotient 21, remainder 6

9. 404 ÷ 33:
33 * 12 = 396
404 - 396 = 8 → quotient 12, remainder 8

All have remainders except the first one. That seems odd for a worksheet titled "with a grid" — usually grids help with alignment for multi-digit quotients, and often problems are chosen to divide evenly.

Wait — let me check if I misread any numbers.

For example, Problem 2: is it 868 or 891? 33*27=891 — but you wrote 868.

Problem 3: 446 — 22*20.2727... not integer.

What if Problem 3 is 440? 22*20=440 — but it's 446.

Perhaps the worksheet includes remainders, and students are to write the quotient and remainder.

But the instruction says "calculate each quotient" — in mathematics, the quotient is the result of division, which for integer division is the whole number part, and remainder is separate.

In many elementary contexts, "quotient" means the whole number part when there's a remainder.

Given that, I'll provide the whole number quotient for each, as that's likely what's expected.

So:

1. 374 ÷ 17 = 22

2. 868 ÷ 33 = 26 (since 33*26=858 ≤ 868)

3. 446 ÷ 22 = 20 (22*20=440 ≤ 446)

4. 405 ÷ 65 = 6 (65*6=390 ≤ 405)

5. 626 ÷ 25 = 25 (25*25=625 ≤ 626)

6. 552 ÷ 37 = 14 (37*14=518 ≤ 552)

7. 273 ÷ 24 = 11 (24*11=264 ≤ 273)

8. 237 ÷ 11 = 21 (11*21=231 ≤ 237)

9. 404 ÷ 33 = 12 (33*12=396 ≤ 404)

These are the integer quotients.

To confirm, let's list them:

- 374 ÷ 17 = 22
- 868 ÷ 33 = 26
- 446 ÷ 22 = 20
- 405 ÷ 65 = 6
- 626 ÷ 25 = 25
- 552 ÷ 37 = 14
- 273 ÷ 24 = 11
- 237 ÷ 11 = 21
- 404 ÷ 33 = 12

I think this is what the worksheet expects — the whole number quotient for each division.

Final Answer:
22, 26, 20, 6, 25, 14, 11, 21, 12