Solve Decimal Division: 0.1 ÷ 0.02 Step-by-Step Solution

To solve the problem $0.1 \div 0.02$, let's follow these steps:

• Step 1: Eliminate the decimals by multiplying both the dividend and divisor by 100 to convert them to whole numbers.
• Step 2: Convert $0.1$ to $10$ and $0.02$ to $2$ by multiplication.
• Step 3: Perform the division $10 \div 2$.

Now, let's proceed with the calculations:
- When we multiply $0.1$ by 100, we get $10$. Similarly, multiplying $0.02$ by 100 gives us $2$.
- Next, we divide $10$ by $2$:
$10 \div 2 = 5$.

Therefore, the solution to the problem is $5$.