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\begin{array}{c}\phantom{\times9999}652616\\\underline{\times\phantom{99}23456789}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times9999}652616\\\underline{\times\phantom{99}23456789}\\\phantom{\times999}5873544\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 652616 with 9. Write the result 5873544 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}652616\\\underline{\times\phantom{99}23456789}\\\phantom{\times999}5873544\\\phantom{\times99}5220928\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 652616 with 8. Write the result 5220928 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}652616\\\underline{\times\phantom{99}23456789}\\\phantom{\times999}5873544\\\phantom{\times99}5220928\phantom{9}\\\phantom{\times9}4568312\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 652616 with 7. Write the result 4568312 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}652616\\\underline{\times\phantom{99}23456789}\\\phantom{\times999}5873544\\\phantom{\times99}5220928\phantom{9}\\\phantom{\times9}4568312\phantom{99}\\\phantom{\times}3915696\phantom{999}\\\end{array}
Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 652616 with 6. Write the result 3915696 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}652616\\\underline{\times\phantom{99}23456789}\\\phantom{\times999}5873544\\\phantom{\times99}5220928\phantom{9}\\\phantom{\times9}4568312\phantom{99}\\\phantom{\times}3915696\phantom{999}\\\phantom{\times}3263080\phantom{9999}\\\end{array}
Now multiply the first number with the 5^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 652616 with 5. Write the result 3263080 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}652616\\\underline{\times\phantom{99}23456789}\\\phantom{\times999}5873544\\\phantom{\times99}5220928\phantom{9}\\\phantom{\times9}4568312\phantom{99}\\\phantom{\times}3915696\phantom{999}\\\phantom{\times}3263080\phantom{9999}\\\phantom{\times}2610464\phantom{99999}\\\end{array}
Now multiply the first number with the 6^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 652616 with 4. Write the result 2610464 at the end leaving 5 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}652616\\\underline{\times\phantom{99}23456789}\\\phantom{\times999}5873544\\\phantom{\times99}5220928\phantom{9}\\\phantom{\times9}4568312\phantom{99}\\\phantom{\times}3915696\phantom{999}\\\phantom{\times}3263080\phantom{9999}\\\phantom{\times}2610464\phantom{99999}\\\phantom{\times}1957848\phantom{999999}\\\end{array}
Now multiply the first number with the 7^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 652616 with 3. Write the result 1957848 at the end leaving 6 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}652616\\\underline{\times\phantom{99}23456789}\\\phantom{\times999}5873544\\\phantom{\times99}5220928\phantom{9}\\\phantom{\times9}4568312\phantom{99}\\\phantom{\times}3915696\phantom{999}\\\phantom{\times}3263080\phantom{9999}\\\phantom{\times}2610464\phantom{99999}\\\phantom{\times}1957848\phantom{999999}\\\underline{\phantom{\times}1305232\phantom{9999999}}\\\end{array}
Now multiply the first number with the 8^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 652616 with 2. Write the result 1305232 at the end leaving 7 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}652616\\\underline{\times\phantom{99}23456789}\\\phantom{\times999}5873544\\\phantom{\times99}5220928\phantom{9}\\\phantom{\times9}4568312\phantom{99}\\\phantom{\times}3915696\phantom{999}\\\phantom{\times}3263080\phantom{9999}\\\phantom{\times}2610464\phantom{99999}\\\phantom{\times}1957848\phantom{999999}\\\underline{\phantom{\times}1305232\phantom{9999999}}\\\phantom{\times}1012367080\end{array}
Now add the intermediate results to get final answer.