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\begin{array}{c}\phantom{\times9999}24842\\\underline{\times\phantom{9999}24325}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times9999}24842\\\underline{\times\phantom{9999}24325}\\\phantom{\times999}124210\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 24842 with 5. Write the result 124210 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}24842\\\underline{\times\phantom{9999}24325}\\\phantom{\times999}124210\\\phantom{\times999}49684\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 24842 with 2. Write the result 49684 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}24842\\\underline{\times\phantom{9999}24325}\\\phantom{\times999}124210\\\phantom{\times999}49684\phantom{9}\\\phantom{\times99}74526\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 24842 with 3. Write the result 74526 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}24842\\\underline{\times\phantom{9999}24325}\\\phantom{\times999}124210\\\phantom{\times999}49684\phantom{9}\\\phantom{\times99}74526\phantom{99}\\\phantom{\times9}99368\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 24842 with 4. Write the result 99368 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}24842\\\underline{\times\phantom{9999}24325}\\\phantom{\times999}124210\\\phantom{\times999}49684\phantom{9}\\\phantom{\times99}74526\phantom{99}\\\phantom{\times9}99368\phantom{999}\\\underline{\phantom{\times}49684\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 24842 with 2. Write the result 49684 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}24842\\\underline{\times\phantom{9999}24325}\\\phantom{\times999}124210\\\phantom{\times999}49684\phantom{9}\\\phantom{\times99}74526\phantom{99}\\\phantom{\times9}99368\phantom{999}\\\underline{\phantom{\times}49684\phantom{9999}}\\\phantom{\times}604281650\end{array}
Now add the intermediate results to get final answer.