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\begin{array}{c}\phantom{\times9999}86836\\\underline{\times\phantom{99999}9542}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times9999}86836\\\underline{\times\phantom{99999}9542}\\\phantom{\times999}173672\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 86836 with 2. Write the result 173672 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}86836\\\underline{\times\phantom{99999}9542}\\\phantom{\times999}173672\\\phantom{\times99}347344\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 86836 with 4. Write the result 347344 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}86836\\\underline{\times\phantom{99999}9542}\\\phantom{\times999}173672\\\phantom{\times99}347344\phantom{9}\\\phantom{\times9}434180\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 86836 with 5. Write the result 434180 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}86836\\\underline{\times\phantom{99999}9542}\\\phantom{\times999}173672\\\phantom{\times99}347344\phantom{9}\\\phantom{\times9}434180\phantom{99}\\\underline{\phantom{\times}781524\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 86836 with 9. Write the result 781524 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}86836\\\underline{\times\phantom{99999}9542}\\\phantom{\times999}173672\\\phantom{\times99}347344\phantom{9}\\\phantom{\times9}434180\phantom{99}\\\underline{\phantom{\times}781524\phantom{999}}\\\phantom{\times}828589112\end{array}
Now add the intermediate results to get final answer.