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\begin{array}{c}\phantom{\times9999}721405\\\underline{\times\phantom{9999}912431}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times9999}721405\\\underline{\times\phantom{9999}912431}\\\phantom{\times9999}721405\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 721405 with 1. Write the result 721405 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}721405\\\underline{\times\phantom{9999}912431}\\\phantom{\times9999}721405\\\phantom{\times99}2164215\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 721405 with 3. Write the result 2164215 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}721405\\\underline{\times\phantom{9999}912431}\\\phantom{\times9999}721405\\\phantom{\times99}2164215\phantom{9}\\\phantom{\times9}2885620\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 721405 with 4. Write the result 2885620 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}721405\\\underline{\times\phantom{9999}912431}\\\phantom{\times9999}721405\\\phantom{\times99}2164215\phantom{9}\\\phantom{\times9}2885620\phantom{99}\\\phantom{\times}1442810\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 721405 with 2. Write the result 1442810 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}721405\\\underline{\times\phantom{9999}912431}\\\phantom{\times9999}721405\\\phantom{\times99}2164215\phantom{9}\\\phantom{\times9}2885620\phantom{99}\\\phantom{\times}1442810\phantom{999}\\\phantom{\times}721405\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 721405 with 1. Write the result 721405 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}721405\\\underline{\times\phantom{9999}912431}\\\phantom{\times9999}721405\\\phantom{\times99}2164215\phantom{9}\\\phantom{\times9}2885620\phantom{99}\\\phantom{\times}1442810\phantom{999}\\\phantom{\times}721405\phantom{9999}\\\underline{\phantom{\times}6492645\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 721405 with 9. Write the result 6492645 at the end leaving 5 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}721405\\\underline{\times\phantom{9999}912431}\\\phantom{\times9999}721405\\\phantom{\times99}2164215\phantom{9}\\\phantom{\times9}2885620\phantom{99}\\\phantom{\times}1442810\phantom{999}\\\phantom{\times}721405\phantom{9999}\\\underline{\phantom{\times}6492645\phantom{99999}}\\\phantom{\times}1102289267\end{array}
Now add the intermediate results to get final answer.