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\begin{array}{c}\phantom{\times99}1007999\\\underline{\times\phantom{999999}365}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times99}1007999\\\underline{\times\phantom{999999}365}\\\phantom{\times99}5039995\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1007999 with 5. Write the result 5039995 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times99}1007999\\\underline{\times\phantom{999999}365}\\\phantom{\times99}5039995\\\phantom{\times9}6047994\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 1007999 with 6. Write the result 6047994 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times99}1007999\\\underline{\times\phantom{999999}365}\\\phantom{\times99}5039995\\\phantom{\times9}6047994\phantom{9}\\\underline{\phantom{\times}3023997\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 1007999 with 3. Write the result 3023997 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times99}1007999\\\underline{\times\phantom{999999}365}\\\phantom{\times99}5039995\\\phantom{\times9}6047994\phantom{9}\\\underline{\phantom{\times}3023997\phantom{99}}\\\phantom{\times}367919635\end{array}
Now add the intermediate results to get final answer.