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Evaluate: 985.92 div 8...

Evaluate:
`985.92 div 8`

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To evaluate \( 985.92 \div 8 \), we will perform the division step by step while keeping track of the decimal point. ### Step-by-Step Solution: 1. **Set up the division**: Write \( 985.92 \) under the division bar and \( 8 \) outside. \[ \begin{array}{r|l} 8 & 985.92 \\ \end{array} \] 2. **Divide the first digit**: Look at the first digit, which is \( 9 \). \( 8 \) goes into \( 9 \) once. - \( 8 \times 1 = 8 \) - Subtract \( 8 \) from \( 9 \) to get \( 1 \). \[ \begin{array}{r|l} 8 & 985.92 \\ & -8 \\ & \underline{1} \\ \end{array} \] 3. **Bring down the next digit**: Bring down the next digit \( 8 \) to make \( 18 \). - \( 8 \) goes into \( 18 \) two times. - \( 8 \times 2 = 16 \) - Subtract \( 16 \) from \( 18 \) to get \( 2 \). \[ \begin{array}{r|l} 8 & 985.92 \\ & -8 \\ & \underline{1}8 \\ & -16 \\ & \underline{2} \\ \end{array} \] 4. **Bring down the next digit**: Bring down the next digit \( 5 \) to make \( 25 \). - \( 8 \) goes into \( 25 \) three times. - \( 8 \times 3 = 24 \) - Subtract \( 24 \) from \( 25 \) to get \( 1 \). \[ \begin{array}{r|l} 8 & 985.92 \\ & -8 \\ & \underline{1}8 \\ & -16 \\ & \underline{25} \\ & -24 \\ & \underline{1} \\ \end{array} \] 5. **Place the decimal point**: Since we are dividing a decimal number, we place the decimal point in the quotient directly above the decimal point in the dividend. 6. **Bring down the next digit**: Bring down the next digit \( 9 \) to make \( 19 \). - \( 8 \) goes into \( 19 \) two times. - \( 8 \times 2 = 16 \) - Subtract \( 16 \) from \( 19 \) to get \( 3 \). \[ \begin{array}{r|l} 8 & 985.92 \\ & -8 \\ & \underline{1}8 \\ & -16 \\ & \underline{25} \\ & -24 \\ & \underline{19} \\ & -16 \\ & \underline{3} \\ \end{array} \] 7. **Bring down the last digit**: Bring down the last digit \( 2 \) to make \( 32 \). - \( 8 \) goes into \( 32 \) four times. - \( 8 \times 4 = 32 \) - Subtract \( 32 \) from \( 32 \) to get \( 0 \). \[ \begin{array}{r|l} 8 & 985.92 \\ & -8 \\ & \underline{1}8 \\ & -16 \\ & \underline{25} \\ & -24 \\ & \underline{19} \\ & -16 \\ & \underline{32} \\ & -32 \\ & \underline{0} \\ \end{array} \] 8. **Final answer**: The quotient is \( 123.24 \). ### Final Answer: \[ 985.92 \div 8 = 123.24 \]
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