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\begin{array}{c}\phantom{\times999}176\\\underline{\times\phantom{999}715}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999}176\\\underline{\times\phantom{999}715}\\\phantom{\times999}880\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 176 with 5. Write the result 880 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999}176\\\underline{\times\phantom{999}715}\\\phantom{\times999}880\\\phantom{\times99}176\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 176 with 1. Write the result 176 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999}176\\\underline{\times\phantom{999}715}\\\phantom{\times999}880\\\phantom{\times99}176\phantom{9}\\\underline{\phantom{\times}1232\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 176 with 7. Write the result 1232 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999}176\\\underline{\times\phantom{999}715}\\\phantom{\times999}880\\\phantom{\times99}176\phantom{9}\\\underline{\phantom{\times}1232\phantom{99}}\\\phantom{\times}125840\end{array}
Now add the intermediate results to get final answer.