[latex]
\[
\textbf{Divide the Diagonal Matrix A by the Diagonal Matrix B, where:}
\]
\[
A = \begin{pmatrix} 6 & 0 \\ 0 & 9 \end{pmatrix}, \quad B = \begin{pmatrix} 2 & 0 \\ 0 & 3 \end{pmatrix}
\]
\[
\textbf{Solution: Diagonal matrices are divided element-wise.}
\]
\[
A \div B = \begin{pmatrix} \frac{6}{2} & 0 \\ 0 & \frac{9}{3} \end{pmatrix} = \begin{pmatrix} 3 & 0 \\ 0 & 3 \end{pmatrix}
\]
\[
\textbf{Answer: } \begin{pmatrix} 3 & 0 \\ 0 & 3 \end{pmatrix}
\]
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