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\begin{array}{c}\phantom{\times}6439795\\\underline{\times\phantom{}5639487}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times}6439795\\\underline{\times\phantom{}5639487}\\\phantom{\times}45078565\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 6439795 with 7. Write the result 45078565 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times}6439795\\\underline{\times\phantom{}5639487}\\\phantom{\times}45078565\\\phantom{\times}51518360\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 6439795 with 8. Write the result 51518360 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times}6439795\\\underline{\times\phantom{}5639487}\\\phantom{\times}45078565\\\phantom{\times}51518360\phantom{9}\\\phantom{\times}25759180\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 6439795 with 4. Write the result 25759180 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times}6439795\\\underline{\times\phantom{}5639487}\\\phantom{\times}45078565\\\phantom{\times}51518360\phantom{9}\\\phantom{\times}25759180\phantom{99}\\\phantom{\times}57958155\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 6439795 with 9. Write the result 57958155 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times}6439795\\\underline{\times\phantom{}5639487}\\\phantom{\times}45078565\\\phantom{\times}51518360\phantom{9}\\\phantom{\times}25759180\phantom{99}\\\phantom{\times}57958155\phantom{999}\\\phantom{\times}19319385\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 6439795 with 3. Write the result 19319385 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times}6439795\\\underline{\times\phantom{}5639487}\\\phantom{\times}45078565\\\phantom{\times}51518360\phantom{9}\\\phantom{\times}25759180\phantom{99}\\\phantom{\times}57958155\phantom{999}\\\phantom{\times}19319385\phantom{9999}\\\phantom{\times}38638770\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 6439795 with 6. Write the result 38638770 at the end leaving 5 spaces to the right like this.
\begin{array}{c}\phantom{\times}6439795\\\underline{\times\phantom{}5639487}\\\phantom{\times}45078565\\\phantom{\times}51518360\phantom{9}\\\phantom{\times}25759180\phantom{99}\\\phantom{\times}57958155\phantom{999}\\\phantom{\times}19319385\phantom{9999}\\\phantom{\times}38638770\phantom{99999}\\\underline{\phantom{\times}32198975\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 6439795 with 5. Write the result 32198975 at the end leaving 6 spaces to the right like this.
\begin{array}{c}\phantom{\times}6439795\\\underline{\times\phantom{}5639487}\\\phantom{\times}45078565\\\phantom{\times}51518360\phantom{9}\\\phantom{\times}25759180\phantom{99}\\\phantom{\times}57958155\phantom{999}\\\phantom{\times}19319385\phantom{9999}\\\phantom{\times}38638770\phantom{99999}\\\underline{\phantom{\times}32198975\phantom{999999}}\\\phantom{\times}-1103269811\end{array}
Now add the intermediate results to get final answer.