1. **State the problem:** We want to divide 0.16 by 32 using long division. 2. **Set up the division:** Write 0.16 as the dividend inside the division bracket and 32 as the divisor outside. 3. **Remove the decimal from the divisor:** Since 32 is a whole number, no change is needed here. 4. **Adjust the dividend:** To divide by 32, we can think of 0.16 as 16 hundredths. To make division easier, multiply both dividend and divisor by 100 to remove decimals: $$0.16 \times 100 = 16$$ and $$32 \times 100 = 3200$$ but this complicates the divisor, so instead, we keep the divisor as 32 and move the decimal point in the dividend. 5. **Perform long division:** - Since 32 does not go into 0, we look at 1 (the first digit after decimal), still no. - Look at 16 (the first two digits after decimal), 32 goes into 16 zero times. - Add a zero to the quotient and bring down another zero (making it 160). - 32 goes into 160 exactly 5 times because $$32 \times 5 = 160$$. 6. **Write the quotient:** The quotient is 0.005. 7. **Final answer:** $$\frac{0.16}{32} = 0.005$$. This means 0.16 divided by 32 equals 0.005.