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\begin{array}{c}\phantom{\times99999}98432\\\underline{\times\phantom{99999}99432}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times99999}98432\\\underline{\times\phantom{99999}99432}\\\phantom{\times9999}196864\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 98432 with 2. Write the result 196864 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}98432\\\underline{\times\phantom{99999}99432}\\\phantom{\times9999}196864\\\phantom{\times999}295296\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 98432 with 3. Write the result 295296 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}98432\\\underline{\times\phantom{99999}99432}\\\phantom{\times9999}196864\\\phantom{\times999}295296\phantom{9}\\\phantom{\times99}393728\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 98432 with 4. Write the result 393728 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}98432\\\underline{\times\phantom{99999}99432}\\\phantom{\times9999}196864\\\phantom{\times999}295296\phantom{9}\\\phantom{\times99}393728\phantom{99}\\\phantom{\times9}885888\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 98432 with 9. Write the result 885888 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}98432\\\underline{\times\phantom{99999}99432}\\\phantom{\times9999}196864\\\phantom{\times999}295296\phantom{9}\\\phantom{\times99}393728\phantom{99}\\\phantom{\times9}885888\phantom{999}\\\underline{\phantom{\times}885888\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 98432 with 9. Write the result 885888 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}98432\\\underline{\times\phantom{99999}99432}\\\phantom{\times9999}196864\\\phantom{\times999}295296\phantom{9}\\\phantom{\times99}393728\phantom{99}\\\phantom{\times9}885888\phantom{999}\\\underline{\phantom{\times}885888\phantom{9999}}\\\phantom{\times}1197356032\end{array}
Now add the intermediate results to get final answer.