Divide 30.24 by 8.4

Answer

To solve the problem of dividing 30.24 by 8.4, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Division Problem**: We need to divide 30.24 by 8.4.
\[ \text{Problem: } 30.24 \div 8.4 \]

2. **Eliminate Decimals**: To make the division easier, we can eliminate the decimals by multiplying both the numerator (30.24) and the denominator (8.4) by 100. This will convert the numbers into whole numbers.
\[ 30.24 \times 100 = 3024 \quad \text{and} \quad 8.4 \times 100 = 840 \]
So, we rewrite the division as:
\[ 3024 \div 840 \]

3. **Simplify the Division**: We can simplify the division by finding a common factor. Both 3024 and 840 can be divided by 12.
\[ 3024 \div 12 = 252 \quad \text{and} \quad 840 \div 12 = 70 \]
Now, we have:
\[ 252 \div 70 \]

4. **Perform the Division**: Now, we will divide 252 by 70. We can estimate how many times 70 goes into 252.
- 70 goes into 252 three times (since \(70 \times 3 = 210\)).
- Subtract 210 from 252:
\[ 252 - 210 = 42 \]
- Now, we have 42 left. To continue, we can add a decimal point and a zero to make it 420.
- 70 goes into 420 six times (since \(70 \times 6 = 420\)).
- Subtract 420 from 420:
\[ 420 - 420 = 0 \]

5. **Combine the Results**: The result of the division is 3.6.
\[ \text{Final Answer: } 3.6 \]

### Final Answer:
\[ 30.24 \div 8.4 = 3.6 \]