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\begin{array}{c}\phantom{\times}299792458\\\underline{\times\phantom{}299792458}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times}299792458\\\underline{\times\phantom{}299792458}\\\phantom{\times}-1896627632\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 299792458 with 8. Write the result -1896627632 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times}299792458\\\underline{\times\phantom{}299792458}\\\phantom{\times}-1896627632\\\phantom{\times}1498962290\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 299792458 with 5. Write the result 1498962290 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times}299792458\\\underline{\times\phantom{}299792458}\\\phantom{\times}-1896627632\\\phantom{\times}1498962290\phantom{9}\\\phantom{\times}1199169832\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 299792458 with 4. Write the result 1199169832 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times}299792458\\\underline{\times\phantom{}299792458}\\\phantom{\times}-1896627632\\\phantom{\times}1498962290\phantom{9}\\\phantom{\times}1199169832\phantom{99}\\\phantom{\times}599584916\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 299792458 with 2. Write the result 599584916 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times}299792458\\\underline{\times\phantom{}299792458}\\\phantom{\times}-1896627632\\\phantom{\times}1498962290\phantom{9}\\\phantom{\times}1199169832\phantom{99}\\\phantom{\times}599584916\phantom{999}\\\phantom{\times}-1596835174\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 299792458 with 9. Write the result -1596835174 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times}299792458\\\underline{\times\phantom{}299792458}\\\phantom{\times}-1896627632\\\phantom{\times}1498962290\phantom{9}\\\phantom{\times}1199169832\phantom{99}\\\phantom{\times}599584916\phantom{999}\\\phantom{\times}-1596835174\phantom{9999}\\\phantom{\times}2098547206\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 299792458 with 7. Write the result 2098547206 at the end leaving 5 spaces to the right like this.
\begin{array}{c}\phantom{\times}299792458\\\underline{\times\phantom{}299792458}\\\phantom{\times}-1896627632\\\phantom{\times}1498962290\phantom{9}\\\phantom{\times}1199169832\phantom{99}\\\phantom{\times}599584916\phantom{999}\\\phantom{\times}-1596835174\phantom{9999}\\\phantom{\times}2098547206\phantom{99999}\\\phantom{\times}-1596835174\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 299792458 with 9. Write the result -1596835174 at the end leaving 6 spaces to the right like this.
\begin{array}{c}\phantom{\times}299792458\\\underline{\times\phantom{}299792458}\\\phantom{\times}-1896627632\\\phantom{\times}1498962290\phantom{9}\\\phantom{\times}1199169832\phantom{99}\\\phantom{\times}599584916\phantom{999}\\\phantom{\times}-1596835174\phantom{9999}\\\phantom{\times}2098547206\phantom{99999}\\\phantom{\times}-1596835174\phantom{999999}\\\phantom{\times}-1596835174\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 299792458 with 9. Write the result -1596835174 at the end leaving 7 spaces to the right like this.
\begin{array}{c}\phantom{\times}299792458\\\underline{\times\phantom{}299792458}\\\phantom{\times}-1896627632\\\phantom{\times}1498962290\phantom{9}\\\phantom{\times}1199169832\phantom{99}\\\phantom{\times}599584916\phantom{999}\\\phantom{\times}-1596835174\phantom{9999}\\\phantom{\times}2098547206\phantom{99999}\\\phantom{\times}-1596835174\phantom{999999}\\\phantom{\times}-1596835174\phantom{9999999}\\\underline{\phantom{\times}599584916\phantom{99999999}}\\\end{array}
Now multiply the first number with the 9^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 299792458 with 2. Write the result 599584916 at the end leaving 8 spaces to the right like this.
\begin{array}{c}\phantom{\times}299792458\\\underline{\times\phantom{}299792458}\\\phantom{\times}-1896627632\\\phantom{\times}1498962290\phantom{9}\\\phantom{\times}1199169832\phantom{99}\\\phantom{\times}599584916\phantom{999}\\\phantom{\times}-1596835174\phantom{9999}\\\phantom{\times}2098547206\phantom{99999}\\\phantom{\times}-1596835174\phantom{999999}\\\phantom{\times}-1596835174\phantom{9999999}\\\underline{\phantom{\times}599584916\phantom{99999999}}\\\phantom{\times}-1394772636\end{array}
Now add the intermediate results to get final answer.