Division Worksheets - Free Printable

Let's solve each of the long division problems on the worksheet step by step.

---

1a. 918154 ÷ 82

We divide 918154 by 82.

Step-by-step long division:

```
_________
82 | 918154
```

1. 91 ÷ 82 = 1 (since 82 × 1 = 82)
- Subtract: 91 - 82 = 9
- Bring down next digit: 8 → 98

2. 98 ÷ 82 = 1
- 82 × 1 = 82
- 98 - 82 = 16
- Bring down next digit: 1 → 161

3. 161 ÷ 82 = 1
- 82 × 1 = 82
- 161 - 82 = 79
- Bring down next digit: 5 → 795

4. 795 ÷ 82 = 9
- 82 × 9 = 738
- 795 - 738 = 57
- Bring down next digit: 4 → 574

5. 574 ÷ 82 = 6
- 82 × 6 = 492
- 574 - 492 = 82
- Bring down next digit: 0 → 820 (but we're done with digits)

Wait — actually, we’ve used all digits. The remainder is 82? But 82 is equal to divisor → so we can do one more step.

Actually, after 574 - 492 = 82 → remainder 82, which is equal to divisor → so we can divide again:

But we’re out of digits. So let’s recheck:

Wait — let's write it properly.

Let’s do it systematically:

```
11196
__________
82 | 918154
-82
---
98
-82
---
161
-82
---
795
-738
----
574
-492
----
82
```

Now, 82 ÷ 82 = 1 → add a decimal point and continue?

But we have no more digits. So we stop here.

Wait — this suggests quotient is 11196, remainder 82.

But 82 is equal to divisor → that means we can divide one more time.

So let's go back:

After 574 - 492 = 82, we bring down a 0 → 820

Now:
- 820 ÷ 82 = 10 → but since we are doing integer division, we can say:

But in standard long division, we can continue with decimals.

But since the problem doesn’t specify, assume we want integer quotient and remainder.

So:

From above:
- 82 × 11196 = ?

Let’s verify:

82 × 11196:

Break it down:

82 × 11000 = 82 × 11 × 1000 = 902 × 1000 = 902,000
82 × 196 = ?

82 × 200 = 16,400
82 × 4 = 328 → so 16,400 - 82×4 = 16,400 - 328 = 16,072? Wait no:

Wait: 82 × 196 = 82 × (200 - 4) = 16,400 - 328 = 16,072

So total: 902,000 + 16,072 = 918,072

Now 918,154 - 918,072 = 82

So yes: 82 × 11196 = 918,072
Remainder = 918,154 - 918,072 = 82

But remainder 82 = divisor → so we can divide again: 82 ÷ 82 = 1 → so actual quotient should be 11197, remainder 0?

Wait! That means our earlier calculation was wrong.

Let’s fix this.

We had:

- After 574 - 492 = 82 → now we have remainder 82
- But we are at the last digit, so we can write 82 as remainder
- But 82 = divisor → so we can add 1 to quotient and remainder becomes 0

Wait — that would mean the quotient is 11196 + 1 = 11197?

But only if we can divide 82 into 82 once more.

But we already did all digits. So:

Wait — let’s redo the division carefully.

Let me do it step by step:

```
11196 R82
__________
82 | 918154
-82
---
98
-82
---
161
-82
---
795
-738
----
574
-492
----
82
```

So quotient is 11196, remainder 82

But remainder cannot be equal to or greater than divisor.

Ah! Here’s the mistake: remainder must be less than divisor.

So 82 is equal to divisor → not allowed.

That means we need to increase the quotient.

Wait — when we had 574 ÷ 82 = ?

82 × 6 = 492 → 574 - 492 = 82 → remainder 82 → which is not acceptable.

So try 82 × 7 = 574 → exactly!

So instead of 6, it should be 7

So correct step:

- 574 ÷ 82 = 7 (since 82 × 7 = 574)

So:

```
11197
__________
82 | 918154
-82
---
98
-82
---
161
-82
---
795
-738
----
574
-574
----
0
```

Yes! Now remainder is 0.

So quotient = 11,197

✔ Answer for 1a: 11,197

---

1b. 927200 ÷ 32

Divide 927200 by 32.

```
_________
32 | 927200
```

1. 92 ÷ 32 = 2 (32×2=64)
- 92 - 64 = 28
- Bring down 7 → 287

2. 287 ÷ 32 = 8 (32×8=256)
- 287 - 256 = 31
- Bring down 2 → 312

3. 312 ÷ 32 = 9 (32×9=288)
- 312 - 288 = 24
- Bring down 0 → 240

4. 240 ÷ 32 = 7 (32×7=224)
- 240 - 224 = 16
- Bring down 0 → 160

5. 160 ÷ 32 = 5 (32×5=160)
- 160 - 160 = 0

So final quotient: 28,975

Let’s verify:

32 × 28,975 =

Break it down:

32 × 28,000 = 896,000
32 × 975 = ?

32 × 1000 = 32,000
32 × 25 = 800 → so 32 × 975 = 32,000 - 32×25 = 32,000 - 800 = 31,200

Total: 896,000 + 31,200 = 927,200 ✔

✔ Answer for 1b: 28,975

---

2a. 339359 ÷ 53

```
_________
53 | 339359
```

1. 33 ÷ 53 = 0 → take 339
2. 339 ÷ 53 = 6 (53×6=318)
- 339 - 318 = 21
- Bring down 3 → 213

3. 213 ÷ 53 = 4 (53×4=212)
- 213 - 212 = 1
- Bring down 5 → 15

4. 15 ÷ 53 = 0 → bring down 9 → 159

5. 159 ÷ 53 = 3 (53×3=159)
- 159 - 159 = 0

So quotient: 6,403

Check: 53 × 6403

Break down:

53 × 6000 = 318,000
53 × 400 = 21,200 → total: 339,200
53 × 3 = 159 → total: 339,200 + 159 = 339,359 ✔

✔ Answer for 2a: 6,403

---

2b. 887718 ÷ 57

```
_________
57 | 887718
```

1. 88 ÷ 57 = 1 (57×1=57)
- 88 - 57 = 31
- Bring down 7 → 317

2. 317 ÷ 57 = 5 (57×5=285)
- 317 - 285 = 32
- Bring down 7 → 327

3. 327 ÷ 57 = 5 (57×5=285)
- 327 - 285 = 42
- Bring down 1 → 421

4. 421 ÷ 57 = 7 (57×7=399)
- 421 - 399 = 22
- Bring down 8 → 228

5. 228 ÷ 57 = 4 (57×4=228)
- 228 - 228 = 0

So quotient: 15,574

Check: 57 × 15,574

Break it down:

57 × 15,000 = 855,000
57 × 574 = ?

First: 57 × 500 = 28,500
57 × 70 = 3,990
57 × 4 = 228
Sum: 28,500 + 3,990 = 32,490 + 228 = 32,718

Total: 855,000 + 32,718 = 887,718 ✔

✔ Answer for 2b: 15,574

---

✔ Final Answers:

1a. 11,197
1b. 28,975
2a. 6,403
2b. 15,574

Let me know if you'd like these written in long division format!