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\begin{array}{c}\phantom{\times99999}12663\\\underline{\times\phantom{9999}126852}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times99999}12663\\\underline{\times\phantom{9999}126852}\\\phantom{\times99999}25326\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 12663 with 2. Write the result 25326 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}12663\\\underline{\times\phantom{9999}126852}\\\phantom{\times99999}25326\\\phantom{\times9999}63315\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 12663 with 5. Write the result 63315 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}12663\\\underline{\times\phantom{9999}126852}\\\phantom{\times99999}25326\\\phantom{\times9999}63315\phantom{9}\\\phantom{\times99}101304\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 12663 with 8. Write the result 101304 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}12663\\\underline{\times\phantom{9999}126852}\\\phantom{\times99999}25326\\\phantom{\times9999}63315\phantom{9}\\\phantom{\times99}101304\phantom{99}\\\phantom{\times99}75978\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 12663 with 6. Write the result 75978 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}12663\\\underline{\times\phantom{9999}126852}\\\phantom{\times99999}25326\\\phantom{\times9999}63315\phantom{9}\\\phantom{\times99}101304\phantom{99}\\\phantom{\times99}75978\phantom{999}\\\phantom{\times9}25326\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 12663 with 2. Write the result 25326 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}12663\\\underline{\times\phantom{9999}126852}\\\phantom{\times99999}25326\\\phantom{\times9999}63315\phantom{9}\\\phantom{\times99}101304\phantom{99}\\\phantom{\times99}75978\phantom{999}\\\phantom{\times9}25326\phantom{9999}\\\underline{\phantom{\times}12663\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 12663 with 1. Write the result 12663 at the end leaving 5 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}12663\\\underline{\times\phantom{9999}126852}\\\phantom{\times99999}25326\\\phantom{\times9999}63315\phantom{9}\\\phantom{\times99}101304\phantom{99}\\\phantom{\times99}75978\phantom{999}\\\phantom{\times9}25326\phantom{9999}\\\underline{\phantom{\times}12663\phantom{99999}}\\\phantom{\times}1606326876\end{array}
Now add the intermediate results to get final answer.