Dividing Decimals using Long Division (examples, solutions, videos ... - Free Printable

Let's solve each of these decimal division problems without rounding, following the standard method: move the decimal point in both the divisor and dividend to make the divisor a whole number, then divide as usual.

---

🔹 Problem 1: $ 79.65 \div 2.7 $

Step 1: Move decimal point in divisor (2.7) one place right → becomes 27
So, move decimal in dividend (79.65) one place right → becomes 796.5

Now: $ 796.5 \div 27 $

Do long division:

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

✔ So, $ 79.65 \div 2.7 = 29.5 $

---

🔹 Problem 2: $ 51.52 \div 1.6 $

Move decimal one place right:
Divisor: 1.6 → 16
Dividend: 51.52 → 515.2

Now: $ 515.2 \div 16 $

```
32.2
------
16|515.2
-48
---
35
-32
---
32
-32
---
0.2
- 0
---
0.2 → remainder? Wait — we need exact.
```

Wait — let's do it properly:

```
32.2
------
16|515.2
-48
---
35
-32
---
32
-32
---
0.2 → bring down 0 → 2.0
- 0
---
2.0 → but wait — we have only one decimal digit.

Actually: 515.2 ÷ 16

We can write:
515.2 ÷ 16 = ?

Try:
16 × 32 = 512
515.2 − 512 = 3.2
3.2 ÷ 16 = 0.2

So total = 32 + 0.2 = 32.2

✔ $ 51.52 \div 1.6 = 32.2 $

---

🔹 Problem 3: $ 13.96 \div 0.4 $

Move decimal one place right:
Divisor: 0.4 → 4
Dividend: 13.96 → 139.6

Now: $ 139.6 \div 4 $

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

✔ $ 13.96 \div 0.4 = 34.9 $

---

🔹 Problem 4: $ 45.6 \div 2.4 $

Move decimal one place right:
2.4 → 24
45.6 → 456

Now: $ 456 \div 24 $

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

✔ $ 45.6 \div 2.4 = 19 $

---

🔹 Problem 5: $ 84 \div 3.5 $

Move decimal one place right:
3.5 → 35
84 → 840

Now: $ 840 \div 35 $

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

✔ $ 84 \div 3.5 = 24 $

---

🔹 Problem 6: $ 96.2 \div 2.6 $

Move decimal one place right:
2.6 → 26
96.2 → 962

Now: $ 962 \div 26 $

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

✔ $ 96.2 \div 2.6 = 37 $

---

🔹 Problem 7: $ 79.23 \div 0.1 $

Move decimal one place right:
0.1 → 1
79.23 → 792.3

Now: $ 792.3 \div 1 = 792.3 $

✔ $ 79.23 \div 0.1 = 792.3 $

---

🔹 Problem 8: $ 5.6 \div 2.8 $

Move decimal one place right:
2.8 → 28
5.6 → 56

Now: $ 56 \div 28 = 2 $

✔ $ 5.6 \div 2.8 = 2 $

---

🔹 Problem 9: $ 10.6 \div 0.2 $

Move decimal one place right:
0.2 → 2
10.6 → 106

Now: $ 106 \div 2 = 53 $

✔ $ 10.6 \div 0.2 = 53 $

---

## ✔ Final Answers:

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

All answers are exact, with no rounding as requested.

Let me know if you'd like step-by-step long division for any of them!