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\begin{array}{c}\phantom{\times9999}2487\\\underline{\times\phantom{9999}6841}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times9999}2487\\\underline{\times\phantom{9999}6841}\\\phantom{\times9999}2487\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 2487 with 1. Write the result 2487 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}2487\\\underline{\times\phantom{9999}6841}\\\phantom{\times9999}2487\\\phantom{\times999}9948\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 2487 with 4. Write the result 9948 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}2487\\\underline{\times\phantom{9999}6841}\\\phantom{\times9999}2487\\\phantom{\times999}9948\phantom{9}\\\phantom{\times9}19896\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 2487 with 8. Write the result 19896 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}2487\\\underline{\times\phantom{9999}6841}\\\phantom{\times9999}2487\\\phantom{\times999}9948\phantom{9}\\\phantom{\times9}19896\phantom{99}\\\underline{\phantom{\times}14922\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 2487 with 6. Write the result 14922 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times9999}2487\\\underline{\times\phantom{9999}6841}\\\phantom{\times9999}2487\\\phantom{\times999}9948\phantom{9}\\\phantom{\times9}19896\phantom{99}\\\underline{\phantom{\times}14922\phantom{999}}\\\phantom{\times}17013567\end{array}
Now add the intermediate results to get final answer.