Solve Decimal Division: 1.3 ÷ 0.1 Step-by-Step

To solve the problem of $1.3 \div 0.1$, we need to simplify the division process by eliminating the decimal point in the divisor using the following steps:

• Step 1: Recognize that dividing by 0.1 is equivalent to multiplying by 10. This is because 0.1 is the same as $\frac{1}{10}$, so dividing by 0.1 is the same as multiplying by 10.
• Step 2: Multiply both the dividend (1.3) and the divisor (0.1) by 10 to move the decimal point one place to the right for each number. This changes 1.3 to 13 and 0.1 to 1.
• Step 3: Perform the division $13 \div 1$. As dividing by 1 leaves any number unchanged, we have the result 13.

Therefore, the solution to the problem $1.3 \div 0.1$ is $13$.