Solve Decimal Division: 1.66 ÷ 166 Step-by-Step

To solve this problem, we'll follow these steps:

• Step 1: Convert the given decimal number to a fraction.
• Step 2: Divide the fraction by the whole number.
• Step 3: Simplify the result and convert it back to a decimal.

Now, let's work through each step:

Step 1: Convert the decimal $1.66$ into a fraction. We can express $1.66$ as $\frac{166}{100}$ since it can be read as "one point sixty-six," which means 166 hundredths.

Step 2: Perform the division $\frac{166}{100}$ divided by $166$. Mathematically, this is expressed as: $\frac{166}{100} \div 166 = \frac{166}{100} \times \frac{1}{166} = \frac{166 \times 1}{100 \times 166}$.

Step 3: Simplify the expression $\frac{166}{166}$ to 1. Thus, we have: $\frac{1}{100} = 0.01$.

Therefore, the solution to the problem is $0.01$.