Evaluate:
`17.435 div 2.75`

Answer

To evaluate \( 17.435 \div 2.75 \), we will follow these steps:

### Step 1: Remove the Decimal Points
To simplify the division, we will eliminate the decimal points by multiplying both the dividend (17.435) and the divisor (2.75) by 100. This is because the divisor has two decimal places.

\[ 17.435 \times 100 = 1743.5 \]
\[ 2.75 \times 100 = 275 \]

Now, we need to evaluate \( 1743.5 \div 275 \).

### Step 2: Convert to Whole Numbers
Next, we can rewrite the division as:

\[ \frac{17435}{275} \]

### Step 3: Long Division
Now we will perform long division of 17435 by 275.

1. **Determine how many times 275 fits into the first part of 17435:**
- 275 goes into 1743 (the first four digits) approximately 6 times since \( 275 \times 6 = 1650 \).

2. **Subtract to find the remainder:**
\[ 1743 - 1650 = 93 \]

3. **Bring down the next digit (5) to make it 935.**

4. **Determine how many times 275 fits into 935:**
- 275 goes into 935 approximately 3 times since \( 275 \times 3 = 825 \).

5. **Subtract to find the remainder:**
\[ 935 - 825 = 110 \]

### Step 4: Combine the Results
Now we have completed the division, and the result so far is:

\[ 6 \text{ (from the first part)} + 3 \text{ (from the second part)} = 63 \]

### Step 5: Place the Decimal Point
Since we moved the decimal point two places to the right (from 2.75), we need to adjust our final answer by placing the decimal point.

The original number \( 17.435 \) has three decimal places, and \( 2.75 \) has two decimal places. Thus, we need to move the decimal point one place to the left in our result of 63.

So, the final answer is:

\[ 6.3 \]

### Final Answer
\[ \boxed{6.3} \]