Evaluate:
`14.7 + 0.84 div 0.3 - 2.4 xx 1.2 + 15.8`

Answer

To evaluate the expression `14.7 + 0.84 ÷ 0.3 - 2.4 × 1.2 + 15.8`, we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the operations**: The expression contains addition, division, multiplication, and subtraction. According to BODMAS, we will first perform the division and multiplication.

2. **Perform the division**:
\[ 0.84 ÷ 0.3 \]
To simplify this, we can convert the decimals into fractions:
\[ 0.84 = \frac{84}{100} \quad \text{and} \quad 0.3 = \frac{3}{10} \]
So,
\[ 0.84 ÷ 0.3 = \frac{84}{100} ÷ \frac{3}{10} = \frac{84}{100} × \frac{10}{3} = \frac{84 × 10}{100 × 3} = \frac{840}{300} = \frac{28}{10} = 2.8 \]

3. **Perform the multiplication**:
\[ 2.4 × 1.2 \]
Again, we can convert to fractions:
\[ 2.4 = \frac{24}{10} \quad \text{and} \quad 1.2 = \frac{12}{10} \]
So,
\[ 2.4 × 1.2 = \frac{24}{10} × \frac{12}{10} = \frac{24 × 12}{100} = \frac{288}{100} = 2.88 \]

4. **Substitute back into the expression**:
Now we replace the values we calculated back into the expression:
\[ 14.7 + 2.8 - 2.88 + 15.8 \]

5. **Combine the terms**:
First, let's add the numbers:
\[ 14.7 + 2.8 + 15.8 = 33.3 \]
Now, subtract:
\[ 33.3 - 2.88 \]

6. **Perform the final subtraction**:
Align the numbers for subtraction:
\[ 33.30 - 02.88 \]
Subtracting gives:
\[ 10 - 8 = 2 \\ 12 - 8 = 4 \\ 3 - 2 = 1 \]
Thus, we get:
\[ 33.30 - 2.88 = 30.42 \]

### Final Answer:
The evaluated result is:
\[ \boxed{30.42} \]