Grade 5 Math Worksheets: Divide decimals by whole numbers (1-9 - Free Printable

Of course! Let's solve each of these decimal division problems step by step. The key rule for dividing decimals is:

> Move the decimal point in the divisor (the number outside the division bracket) to the right until it becomes a whole number. Then move the decimal point in the dividend (the number inside the bracket) the same number of places to the right. Then divide as usual.

We are told “no rounding”, so we will carry out the division until the remainder is zero or until we see a repeating pattern — but since these are all terminating decimals, we’ll get exact answers.

---

Problem 1: `2.7 √79.65`

- Move decimal in divisor (2.7) one place right → becomes 27
- Move decimal in dividend (79.65) one place right → becomes 796.5
- Now divide: `27 √796.5`

Let’s do the long division:

```
29.5
_______
27|796.5
-54
----
256
-243
-----
135
-135
-----
0
```

✔ Answer: 29.5

---

Problem 2: `1.6 √51.52`

- Move decimal in 1.6 one place → 16
- Move decimal in 51.52 one place → 515.2
- Divide: `16 √515.2`

```
32.2
_______
16|515.2
-48
----
35
-32
----
32
-32
----
0
```

✔ Answer: 32.2

---

Problem 3: `0.4 √13.96`

- Move decimal in 0.4 one place → 4
- Move decimal in 13.96 one place → 139.6
- Divide: `4 √139.6`

```
34.9
_______
4 |139.6
-12
----
19
-16
----
36
-36
----
0
```

✔ Answer: 34.9

---

Problem 4: `2.4 √45.6`

- Move decimal in 2.4 one place → 24
- Move decimal in 45.6 one place → 456
- Divide: `24 √456`

```
19
_____
24|456
-24
----
216
-216
-----
0
```

✔ Answer: 19

---

Problem 5: `3.5 √84`

- Move decimal in 3.5 one place → 35
- Move decimal in 84 one place → 840
- Divide: `35 √840`

```
24
_____
35|840
-70
----
140
-140
-----
0
```

✔ Answer: 24

---

Problem 6: `2.6 √96.2`

- Move decimal in 2.6 one place → 26
- Move decimal in 96.2 one place → 962
- Divide: `26 √962`

```
37
_____
26|962
-78
----
182
-182
-----
0
```

✔ Answer: 37

---

Problem 7: `0.1 √79.23`

- Move decimal in 0.1 one place → 1
- Move decimal in 79.23 one place → 792.3
- Divide: `1 √792.3` → which is just 792.3

✔ Answer: 792.3

---

Problem 8: `2.8 √5.6`

- Move decimal in 2.8 one place → 28
- Move decimal in 5.6 one place → 56
- Divide: `28 √56`

```
2
___
28|56
-56
----
0
```

✔ Answer: 2

---

Problem 9: `0.2 √10.6`

- Move decimal in 0.2 one place → 2
- Move decimal in 10.6 one place → 106
- Divide: `2 √106`

```
53
_____
2 |106
-10
----
6
-6
----
0
```

✔ Answer: 53

---

## ✔ Final Answers:

| Problem | Answer |
|---------------------|--------|
| 2.7 √79.65 | 29.5 |
| 1.6 √51.52 | 32.2 |
| 0.4 √13.96 | 34.9 |
| 2.4 √45.6 | 19 |
| 3.5 √84 | 24 |
| 2.6 √96.2 | 37 |
| 0.1 √79.23 | 792.3 |
| 2.8 √5.6 | 2 |
| 0.2 √10.6 | 53 |

All answers are exact — no rounding needed!

Let me know if you’d like to see any of the long divisions written out more fully.