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\begin{array}{c}\phantom{\times9}24\\\underline{\times\phantom{9}38}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times9}24\\\underline{\times\phantom{9}38}\\\phantom{\times}192\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 24 with 8. Write the result 192 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times9}24\\\underline{\times\phantom{9}38}\\\phantom{\times}192\\\underline{\phantom{\times}72\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 24 with 3. Write the result 72 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times9}24\\\underline{\times\phantom{9}38}\\\phantom{\times}192\\\underline{\phantom{\times}72\phantom{9}}\\\phantom{\times}912\end{array}
Now add the intermediate results to get final answer.