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\begin{array}{c}\phantom{\times999}95871\\\underline{\times\phantom{99999}342}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999}95871\\\underline{\times\phantom{99999}342}\\\phantom{\times99}191742\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 95871 with 2. Write the result 191742 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999}95871\\\underline{\times\phantom{99999}342}\\\phantom{\times99}191742\\\phantom{\times9}383484\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 95871 with 4. Write the result 383484 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999}95871\\\underline{\times\phantom{99999}342}\\\phantom{\times99}191742\\\phantom{\times9}383484\phantom{9}\\\underline{\phantom{\times}287613\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 95871 with 3. Write the result 287613 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999}95871\\\underline{\times\phantom{99999}342}\\\phantom{\times99}191742\\\phantom{\times9}383484\phantom{9}\\\underline{\phantom{\times}287613\phantom{99}}\\\phantom{\times}32787882\end{array}
Now add the intermediate results to get final answer.