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Evaluate: 3.216 div 0.16...

Evaluate:
`3.216 div 0.16

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To evaluate \( 3.216 \div 0.16 \), we can follow these steps: ### Step 1: Convert the division into a fraction We can express the division as a fraction: \[ \frac{3.216}{0.16} \] ### Step 2: Eliminate the decimals To eliminate the decimals, we can multiply both the numerator and the denominator by 100 (since there are two decimal places in 0.16): \[ \frac{3.216 \times 100}{0.16 \times 100} = \frac{321.6}{16} \] ### Step 3: Simplify the fraction Now we need to divide 321.6 by 16. To make it easier, we can convert 321.6 into an integer by multiplying by 10: \[ \frac{3216}{160} \] ### Step 4: Perform the division Now we can divide 3216 by 16: - 16 goes into 32 two times (2 × 16 = 32), leaving a remainder of 0. - Bring down the next digit (1), making it 1. Since 16 cannot go into 1, we put a 0 in the quotient. - Bring down the next digit (6), making it 16. 16 goes into 16 one time (1 × 16 = 16), leaving a remainder of 0. So, \( 3216 \div 16 = 201 \). ### Step 5: Adjust for the decimal Since we multiplied the denominator by 10, we need to adjust our answer by dividing by 10: \[ \frac{201}{10} = 20.1 \] ### Final Answer Thus, the final answer is: \[ \boxed{20.1} \]
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