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\begin{array}{c}\phantom{\times99999}9792\\\underline{\times\phantom{9999}19584}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times99999}9792\\\underline{\times\phantom{9999}19584}\\\phantom{\times9999}39168\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 9792 with 4. Write the result 39168 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}9792\\\underline{\times\phantom{9999}19584}\\\phantom{\times9999}39168\\\phantom{\times999}78336\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 9792 with 8. Write the result 78336 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}9792\\\underline{\times\phantom{9999}19584}\\\phantom{\times9999}39168\\\phantom{\times999}78336\phantom{9}\\\phantom{\times99}48960\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 9792 with 5. Write the result 48960 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}9792\\\underline{\times\phantom{9999}19584}\\\phantom{\times9999}39168\\\phantom{\times999}78336\phantom{9}\\\phantom{\times99}48960\phantom{99}\\\phantom{\times9}88128\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 9792 with 9. Write the result 88128 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}9792\\\underline{\times\phantom{9999}19584}\\\phantom{\times9999}39168\\\phantom{\times999}78336\phantom{9}\\\phantom{\times99}48960\phantom{99}\\\phantom{\times9}88128\phantom{999}\\\underline{\phantom{\times9}9792\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 9792 with 1. Write the result 9792 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times99999}9792\\\underline{\times\phantom{9999}19584}\\\phantom{\times9999}39168\\\phantom{\times999}78336\phantom{9}\\\phantom{\times99}48960\phantom{99}\\\phantom{\times9}88128\phantom{999}\\\underline{\phantom{\times9}9792\phantom{9999}}\\\phantom{\times}191766528\end{array}
Now add the intermediate results to get final answer.