Find `3.84 div 0.3`

Answer

To solve the problem \( 3.84 \div 0.3 \), we can follow these steps:

### Step 1: Convert the decimal numbers to fractions
We start with the numbers \( 3.84 \) and \( 0.3 \).

- \( 3.84 \) can be expressed as \( \frac{384}{100} \) because the decimal point is two places from the right.
- \( 0.3 \) can be expressed as \( \frac{3}{10} \) because the decimal point is one place from the right.

### Step 2: Set up the division
Now we can rewrite the division as:
\[ 3.84 \div 0.3 = \frac{384}{100} \div \frac{3}{10} \]

### Step 3: Change division to multiplication
To divide by a fraction, we multiply by its reciprocal. Thus, we have:
\[ \frac{384}{100} \div \frac{3}{10} = \frac{384}{100} \times \frac{10}{3} \]

### Step 4: Multiply the fractions
Now we multiply the numerators and the denominators:
\[ \frac{384 \times 10}{100 \times 3} = \frac{3840}{300} \]

### Step 5: Simplify the fraction
Next, we simplify \( \frac{3840}{300} \). We can divide both the numerator and the denominator by 100:
\[ \frac{3840 \div 100}{300 \div 100} = \frac{38.4}{3} \]

### Step 6: Perform the division
Now we divide \( 38.4 \) by \( 3 \):
\[ 38.4 \div 3 = 12.8 \]

### Final Answer
Thus, the result of \( 3.84 \div 0.3 \) is:
\[ \boxed{12.8} \]

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