Simplify: `22.308-:7.436`

Answer

To simplify \( 22.308 \div 7.436 \), we will follow these steps:

### Step 1: Rewrite the Division
We start by rewriting the division in a more manageable form:
\[ \frac{22.308}{7.436} \]

### Step 2: Remove the Decimal Points
To simplify the division, we can eliminate the decimal points by multiplying both the numerator and the denominator by 1000 (since there are three decimal places in the numerator):
\[ \frac{22.308 \times 1000}{7.436 \times 1000} = \frac{22308}{7436} \]

### Step 3: Perform Long Division
Now, we will perform long division to divide \( 22308 \) by \( 7436 \).

1. **Estimate how many times \( 7436 \) fits into \( 22308 \)**:
- Start by estimating. \( 7436 \) goes into \( 22308 \) about 3 times (since \( 3 \times 7436 = 22308 \)).

2. **Multiply and Subtract**:
- Multiply \( 7436 \) by \( 3 \):
\[ 7436 \times 3 = 22308 \]
- Subtract this from \( 22308 \):
\[ 22308 - 22308 = 0 \]

### Step 4: Write the Result
Since the remainder is \( 0 \), we conclude that:
\[ \frac{22308}{7436} = 3 \]

Thus, the simplified result of \( 22.308 \div 7.436 \) is:
\[ \boxed{3} \]

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