Answer :

To solve the division [tex]\(10.1 \div 0.2\)[/tex], we need to determine how many times 0.2 fits into 10.1. Here's a step-by-step approach:

1. Understand the Division: You want to divide 10.1 by 0.2. Division asks, "How many times does 0.2 fit into 10.1?"

2. Adjust for Easy Calculation: To simplify division with decimals, we can multiply both the dividend (10.1) and the divisor (0.2) by 10 to eliminate the decimal points.

- Multiply 10.1 by 10 to get 101.
- Multiply 0.2 by 10 to get 2.

3. Perform the Division: Now divide 101 by 2.

[tex]\[
101 \div 2 = 50.5
\][/tex]

4. Conclusion: Therefore, 0.2 fits into 10.1 approximately 50.5 times.

So, the result of [tex]\(10.1 \div 0.2\)[/tex] is 50.5.