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Evaluate: 9.18 div 17...

Evaluate:
`9.18 div 17`

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To evaluate \( 9.18 \div 17 \), we will follow these steps: ### Step 1: Set up the division We start by writing the division in a long division format: \[ 9.18 \div 17 \] ### Step 2: Handle the decimal point Since we are dividing a decimal, we will treat the decimal point carefully. We can rewrite \( 9.18 \) as \( 91.8 \) by moving the decimal point one place to the right. This means we also need to place the decimal point in the quotient directly above where it appears in the dividend: \[ \text{Now we have } 91.8 \div 17 \] ### Step 3: Divide the whole number part Now we will divide \( 91 \) by \( 17 \). We can refer to the multiplication table of \( 17 \): - \( 17 \times 5 = 85 \) - \( 17 \times 6 = 102 \) (too high) The closest we can get is \( 85 \), so we write \( 5 \) above the division line: \[ \begin{array}{r|l} 17 & 91.8 \\ & -85 \\ \hline & 6 \\ \end{array} \] ### Step 4: Bring down the next digit Next, we bring down the \( 8 \) from \( 91.8 \) to make it \( 68 \): \[ \begin{array}{r|l} 17 & 91.8 \\ & -85 \\ \hline & 68 \\ \end{array} \] ### Step 5: Divide again Now we divide \( 68 \) by \( 17 \): - \( 17 \times 4 = 68 \) So we write \( 4 \) above the division line: \[ \begin{array}{r|l} 17 & 91.8 \\ & -85 \\ \hline & 68 \\ & -68 \\ \hline & 0 \\ \end{array} \] ### Step 6: Write the final answer Since there is no remainder, we combine the results from our division: \[ 9.18 \div 17 = 0.54 \] ### Final Answer: \[ \boxed{0.54} \] ---
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