1. Let's start with the problem: divide 0.16 by 32 using long division. 2. First, write 0.16 as 16 (ignoring the decimal) and remember that we will adjust for the decimal later. 3. Now, divide 16 by 32. Since 32 is larger than 16, we add zeros to 16 to continue dividing. 4. Think of 16 as 16.00 to help with division. 5. Divide 160 by 32. 32 goes into 160 exactly 5 times because $32 \times 5 = 160$. 6. Write 5 in the quotient. 7. Subtract $160 - 160 = 0$, so no remainder. 8. Since we moved the decimal two places to the right in 0.16 to make 16, we move the decimal two places to the left in the answer. 9. So, the answer is 0.005. Final answer: $$\frac{0.16}{32} = 0.005$$