Solve Decimal Division: 10.1 ÷ 101 Step-by-Step

To solve this problem, we need to divide $10.1$ by $101$. The division can be represented as follows:

First, consider the expression $10.1 \div 101$. To simplify this division, express it as a fraction: $\frac{10.1}{101}$.

To deal with the decimal, convert $10.1$ to an equivalent fraction by multiplying both the numerator and the denominator by 10 to eliminate the decimal point:

$\frac{10.1}{101} = \frac{101}{1010}$

At this point, you can simplify the fraction. Divide both the numerator and the denominator by 101. Thus:

$\frac{101}{1010} = \frac{1}{10}$

Evaluating $\frac{1}{10}$ gives us the decimal form of $0.1$.

Therefore, the solution to the problem $10.1 \div 101$ is $0.1$.