Solve. \begin{tabular}{ll}130 & \\ \hline \( 0.0832 \div 0.64=\square \) \\ \hline 1.3 & 0.13 \\ \hline\end{tabular}
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First, let's simplify the division problem \( 0.0832 \div 0.64 \). To do this, we can convert these decimals into fractions or multiply both the numerator and denominator by 100 to eliminate the decimal points, making it easier to calculate. This can be expressed as: \[ 0.0832 \div 0.64 = \frac{0.0832 \times 100}{0.64 \times 100} = \frac{8.32}{64} \] Now, to simplify \( \frac{8.32}{64} \), we can perform the division: \[ 8.32 \div 64 = 0.13 \] So, the answer to \( 0.0832 \div 0.64 \) is \( \square = 0.13 \). Recognizing this, we can fill in the blank: \[ 0.0832 \div 0.64 = 0.13 \]