Long Division of Decimal Numbers by whole numbers - Math ... - Free Printable

Let's solve each of these decimal division problems and find the quotient up to 3 decimal places.

We will use long division for each problem, ensuring we round or continue to three decimal places as required.

---

1. $ 6 \div 0.03 $

We can rewrite this as:
$$
\frac{0.03}{6} = ?
$$

But better to think:
$ 0.03 \div 6 $

Since dividing a small number by a larger one gives a small result:

$$
0.03 \div 6 = 0.005
$$

✔ Answer: 0.005

---

2. $ 9 \div 6.831 $

Wait — actually, it’s written as:
$$
6.831 \div 9
$$

So:
$$
\frac{6.831}{9}
$$

Let’s do long division:

- $ 9 $ into $ 6.831 $
- $ 9 $ goes into $ 6 $ zero times → write 0.
- Add decimal point and bring down digits.

Now divide $ 68.31 \div 9 $:

- $ 9 \times 7 = 63 $ → subtract from 68 → remainder 5
- Bring down 3 → 53
- $ 9 \times 5 = 45 $ → remainder 8
- Bring down 1 → 81
- $ 9 \times 9 = 81 $ → remainder 0

So far: $ 0.759 $

Wait, let's do it step-by-step:

$$
6.831 \div 9
$$

Write it as:

```
0.759
_______
9 | 6.831
- 0
----
68
-63
----
53
-45
----
81
-81
----
0
```

So the quotient is 0.759

✔ Answer: 0.759

---

3. $ 2.604 \div 7 $

$$
\frac{2.604}{7}
$$

Long division:

```
0.372
_______
7 | 2.604
- 0
----
26
-21
----
50
-49
----
14
-14
----
0
```

So: $ 0.372 $

✔ Answer: 0.372

---

4. $ 9.36 \div 4 $

$$
\frac{9.36}{4}
$$

Divide:

```
2.34
_______
4 | 9.36
- 8
----
13
-12
----
16
-16
----
0
```

So: $ 2.34 $

But we need 3 decimal places, so add a zero → $ 2.340 $

✔ Answer: 2.340

---

5. $ 892.9 \div 4 $

$$
\frac{892.9}{4}
$$

Divide:

First, $ 892 \div 4 = 223 $, since $ 4 \times 223 = 892 $

Now bring down the decimal and 9 → $ 0.9 \div 4 $

So: $ 223 + 0.225 = ? $

Do long division:

```
223.225
_________
4 | 892.900
-8
---
12
-12
---
09
- 8
---
10
- 8
---
20
-20
---
0
```

So: $ 223.225 $

✔ Answer: 223.225

---

6. $ 4.256 \div 7 $

$$
\frac{4.256}{7}
$$

Start:

```
0.608
_______
7 | 4.256
- 0
----
42
-42
----
05
- 0
----
56
-56
----
0
```

So: $ 0.608 $

✔ Answer: 0.608

---

7. $ 0.036 \div 3 $

$$
\frac{0.036}{3}
$$

Break it down: $ 0.036 \div 3 = 0.012 $

Check: $ 3 \times 0.012 = 0.036 $

✔ Answer: 0.012

---

8. $ 0.81 \div 3 $

$$
\frac{0.81}{3}
$$

$ 3 \times 0.27 = 0.81 $

So: $ 0.27 $

To 3 decimal places: $ 0.270 $

✔ Answer: 0.270

---

9. $ 50.421 \div 7 $

$$
\frac{50.421}{7}
$$

Let’s divide:

```
7.203
_______
7 | 50.421
-49
----
14
-14
----
02
- 0
----
21
-21
----
0
```

So: $ 7.203 $

✔ Answer: 7.203

---

✔ Final Answers (up to 3 decimal places):

| Problem | Quotient |
|--------|----------|
| 1. $ 0.03 \div 6 $ | 0.005 |
| 2. $ 6.831 \div 9 $ | 0.759 |
| 3. $ 2.604 \div 7 $ | 0.372 |
| 4. $ 9.36 \div 4 $ | 2.340 |
| 5. $ 892.9 \div 4 $ | 223.225 |
| 6. $ 4.256 \div 7 $ | 0.608 |
| 7. $ 0.036 \div 3 $ | 0.012 |
| 8. $ 0.81 \div 3 $ | 0.270 |
| 9. $ 50.421 \div 7 $ | 7.203 |

---

🔍 Tips for Decimal Division:

- Always align the decimal point in the quotient directly above the dividend.
- If the divisor is a whole number, just divide normally.
- Add zeros after the last digit of the dividend if needed to get 3 decimal places.
- Round only if necessary (but here all results are exact to 3 decimals).

Let me know if you'd like the long division steps drawn out!