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\begin{array}{c}\phantom{\times999}712\\\underline{\times\phantom{999}173}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999}712\\\underline{\times\phantom{999}173}\\\phantom{\times99}2136\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 712 with 3. Write the result 2136 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999}712\\\underline{\times\phantom{999}173}\\\phantom{\times99}2136\\\phantom{\times9}4984\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 712 with 7. Write the result 4984 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999}712\\\underline{\times\phantom{999}173}\\\phantom{\times99}2136\\\phantom{\times9}4984\phantom{9}\\\underline{\phantom{\times9}712\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 712 with 1. Write the result 712 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999}712\\\underline{\times\phantom{999}173}\\\phantom{\times99}2136\\\phantom{\times9}4984\phantom{9}\\\underline{\phantom{\times9}712\phantom{99}}\\\phantom{\times}123176\end{array}
Now add the intermediate results to get final answer.