Let's solve the expression step by step:

The expression is:

\[
\frac{5}{0.11} + 14(8.38 - 0.11)
\]

### Step 1: Simplify the terms inside the parentheses
\[
8.38 - 0.11 = 8.27
\]

### Step 2: Multiply the result by 14
\[
14 \times 8.27 = 115.78
\]

### Step 3: Divide 5 by 0.11
\[
\frac{5}{0.11} \approx 45.45
\]

### Step 4: Add the two results together
\[
45.45 + 115.78 = 161.23
\]

So, the final result is:

\[
\boxed{161.23}
\]

Would you like to see the detailed steps for any part of this solution or have any other questions?

### Related Questions:
1. How do you solve expressions involving fractions and decimals?
2. What are the properties of division with decimals?
3. How can you check if the arithmetic operations have been done correctly?
4. How would the result change if the numbers in the parentheses were different?
5. How do you simplify more complex expressions with multiple operations?

**Tip:** Always perform operations inside parentheses first, followed by multiplication or division, and then addition or subtraction. This helps to avoid mistakes in order of operations.

Learn how to solve the arithmetic expression 5 divided by 0.11 plus 14 times the quantity 8.38 minus 0.11 step-by-step. This problem involves arithmetic with decimals and follows the order of operations. Suitable for students in Grades 6-8.

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