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\begin{array}{c}\phantom{\times9}204\\\underline{\times\phantom{99}24}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times9}204\\\underline{\times\phantom{99}24}\\\phantom{\times9}816\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 204 with 4. Write the result 816 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times9}204\\\underline{\times\phantom{99}24}\\\phantom{\times9}816\\\underline{\phantom{\times}408\phantom{9}}\\\end{array}
Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 204 with 2. Write the result 408 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times9}204\\\underline{\times\phantom{99}24}\\\phantom{\times9}816\\\underline{\phantom{\times}408\phantom{9}}\\\phantom{\times}4896\end{array}
Now add the intermediate results to get final answer.