Division of Decimal Numbers Worksheets - Free Printable

It looks like you've uploaded a worksheet titled "Decimal Division with 10P Sheet 2", which contains several long division problems involving decimals. The goal is to divide the numbers shown, and likely round or express the answers appropriately.

Let’s go through each problem one by one and solve them step-by-step.

---

Problem 1:

1) $ \frac{7.423}{5} $

Divide 7.423 by 5:

```
1.4846
--------
5 | 7.4230
-5
---
24
-20
---
42
-40
---
23
-20
---
30
-30
---
0
```

So:
7.423 ÷ 5 = 1.4846

But since the original number has 3 decimal places, we can keep it to 4 decimal places if needed. But typically, we might round to 3 significant figures or nearest thousandth.

Answer: 1.485 (rounded to three decimal places)

✔ Answer: 1.485

---

Problem 2:

2) $ \frac{26.137}{4} $

Divide 26.137 by 4:

```
6.53425
---------
4 | 26.13700
-24
----
21
-20
---
13
-12
---
17
-16
---
10
- 8
---
20
-20
---
0
```

So:
26.137 ÷ 4 = 6.53425

Round to three decimal places: 6.534

✔ Answer: 6.534

---

Problem 3:

3) $ \frac{17.865}{6} $

Divide 17.865 by 6:

```
2.9775
--------
6 | 17.8650
-12
----
58
-54
---
46
-42
---
45
-42
---
30
-30
---
0
```

So:
17.865 ÷ 6 = 2.9775

Round to three decimal places: 2.978

✔ Answer: 2.978

---

Problem 4:

4) $ \frac{7.524}{12} $

Divide 7.524 by 12:

```
0.627
-------
12 | 7.524
-0
---
75
-72
---
32
-24
---
84
-84
---
0
```

So:
7.524 ÷ 12 = 0.627

✔ Answer: 0.627

---

Problem 5:

5) $ \frac{17.562}{4} $

Divide 17.562 by 4:

```
4.3905
--------
4 | 17.5620
-16
----
15
-12
---
36
-36
---
20
-20
---
0
```

So:
17.562 ÷ 4 = 4.3905

Round to three decimal places: 4.391

✔ Answer: 4.391

---

Problem 6:

6) $ \frac{9.218}{8} $

Divide 9.218 by 8:

```
1.15225
--------
8 | 9.21800
-8
---
12
- 8
---
41
-40
---
18
- 8
---
10
- 8
---
20
-16
---
40
-40
---
0
```

So:
9.218 ÷ 8 = 1.15225

Round to three decimal places: 1.152

✔ Answer: 1.152

---

Problem 7:

7) $ \frac{12.686}{11} $

Divide 12.686 by 11:

```
1.15327...
-----------
11 | 12.686
-11
----
16
-11
---
58
-55
---
36
-33
---
30
-22
---
80
-77
---
30
...
```

This repeats. Let's do it carefully:

- 11 × 1.153 = 11 × 1 = 11, 11 × 0.153 = 1.683 → total = 12.683

Close to 12.686

So:
12.686 ÷ 11 ≈ 1.15327...

We can compute more precisely:

```
1.15327
--------
11 | 12.68600
-11
----
16
-11
---
58
-55
---
36
-33
---
30
-22
---
80
-77
---
30
-22
---
80
-77
---
3
```

So it's approximately 1.15327...

Round to three decimal places: 1.153

✔ Answer: 1.153

---

Problem 8:

8) $ \frac{23.065}{6} $

Divide 23.065 by 6:

```
3.84416...
--------
6 | 23.0650
-18
----
50
-48
---
26
-24
---
25
-24
---
10
- 6
---
40
-36
---
40
-36
---
40
-36
---
4
```

So:
23.065 ÷ 6 ≈ 3.84416...

Round to three decimal places: 3.844

✔ Answer: 3.844

---

Problem 9:

9) $ \frac{9.513}{21} $

Divide 9.513 by 21:

```
0.453
-------
21 | 9.513
-0
---
95
-84
---
111
-105
---
63
-63
---
0
```

So:
9.513 ÷ 21 = 0.453

✔ Answer: 0.453

---

✔ Final Answers:

| Problem | Answer (Rounded to 3 Decimal Places) |
|--------|--------------------------------------|
| 1) | 1.485 |
| 2) | 6.534 |
| 3) | 2.978 |
| 4) | 0.627 |
| 5) | 4.391 |
| 6) | 1.152 |
| 7) | 1.153 |
| 8) | 3.844 |
| 9) | 0.453 |

---

📌 Notes:

- All divisions were done using long division.
- Answers are rounded to three decimal places, which is typical for such worksheets unless otherwise specified.
- You may want to check if your teacher wants exact decimals or repeating decimals, but rounding to 3 decimal places is standard here.

Let me know if you'd like these in a printable format or need help with any specific steps!