Solve Decimal Division: 0.64 ÷ 0.8 Step-by-Step

To solve the problem of dividing $0.64$ by $0.8$, we need to convert the decimals to whole numbers to simplify the process. Here's a step-by-step solution:

• Step 1: Notice both numbers are decimals. Our goal is to make them whole numbers to simplify the division.
• Step 2: The number $0.64$ can be written as $\frac{64}{100}$ and $0.8$ as $\frac{8}{10}$. To eliminate decimals, multiply both numbers by 100 (the larger factor of 10 to ensure both numbers become integers): $0.64 \times 100 = 64$ and $0.8 \times 100 = 80$.
• Step 3: Perform the division using these whole numbers: $\frac{64}{80}$.
• Step 4: Simplify $\frac{64}{80}$. The greatest common divisor of 64 and 80 is 16. Thus, dividing both the numerator and the denominator by 16, we get $\frac{64 \div 16}{80 \div 16} = \frac{4}{5}$.
• Step 5: Convert $\frac{4}{5}$ to decimal form. To do this, divide 4 by 5, which gives us $0.8$.

Therefore, the solution to the problem $0.64 \div 0.8$ is $0.8$.