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\begin{array}{c}\phantom{\times9}236872567\\\underline{\times\phantom{9999999}459}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times9}236872567\\\underline{\times\phantom{9999999}459}\\\phantom{\times}2131853103\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 236872567 with 9. Write the result 2131853103 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times9}236872567\\\underline{\times\phantom{9999999}459}\\\phantom{\times}2131853103\\\phantom{\times}1184362835\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 236872567 with 5. Write the result 1184362835 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times9}236872567\\\underline{\times\phantom{9999999}459}\\\phantom{\times}2131853103\\\phantom{\times}1184362835\phantom{9}\\\underline{\phantom{\times}947490268\phantom{99}}\\\end{array}
Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 236872567 with 4. Write the result 947490268 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times9}236872567\\\underline{\times\phantom{9999999}459}\\\phantom{\times}2131853103\\\phantom{\times}1184362835\phantom{9}\\\underline{\phantom{\times}947490268\phantom{99}}\\\phantom{\times}1350325853\end{array}
Now add the intermediate results to get final answer.