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\begin{array}{c}\phantom{\times999}1648\\\underline{\times\phantom{999}2115}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999}1648\\\underline{\times\phantom{999}2115}\\\phantom{\times999}8240\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1648 with 5. Write the result 8240 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999}1648\\\underline{\times\phantom{999}2115}\\\phantom{\times999}8240\\\phantom{\times99}1648\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 1648 with 1. Write the result 1648 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999}1648\\\underline{\times\phantom{999}2115}\\\phantom{\times999}8240\\\phantom{\times99}1648\phantom{9}\\\phantom{\times9}1648\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 1648 with 1. Write the result 1648 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999}1648\\\underline{\times\phantom{999}2115}\\\phantom{\times999}8240\\\phantom{\times99}1648\phantom{9}\\\phantom{\times9}1648\phantom{99}\\\underline{\phantom{\times}3296\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 1648 with 2. Write the result 3296 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times999}1648\\\underline{\times\phantom{999}2115}\\\phantom{\times999}8240\\\phantom{\times99}1648\phantom{9}\\\phantom{\times9}1648\phantom{99}\\\underline{\phantom{\times}3296\phantom{999}}\\\phantom{\times}3485520\end{array}
Now add the intermediate results to get final answer.