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\begin{array}{c}\phantom{\times}49870\\\underline{\times\phantom{}64987}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times}49870\\\underline{\times\phantom{}64987}\\\phantom{\times}349090\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 49870 with 7. Write the result 349090 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times}49870\\\underline{\times\phantom{}64987}\\\phantom{\times}349090\\\phantom{\times}398960\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 49870 with 8. Write the result 398960 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times}49870\\\underline{\times\phantom{}64987}\\\phantom{\times}349090\\\phantom{\times}398960\phantom{9}\\\phantom{\times}448830\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 49870 with 9. Write the result 448830 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times}49870\\\underline{\times\phantom{}64987}\\\phantom{\times}349090\\\phantom{\times}398960\phantom{9}\\\phantom{\times}448830\phantom{99}\\\phantom{\times}199480\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 49870 with 4. Write the result 199480 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times}49870\\\underline{\times\phantom{}64987}\\\phantom{\times}349090\\\phantom{\times}398960\phantom{9}\\\phantom{\times}448830\phantom{99}\\\phantom{\times}199480\phantom{999}\\\underline{\phantom{\times}299220\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 49870 with 6. Write the result 299220 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times}49870\\\underline{\times\phantom{}64987}\\\phantom{\times}349090\\\phantom{\times}398960\phantom{9}\\\phantom{\times}448830\phantom{99}\\\phantom{\times}199480\phantom{999}\\\underline{\phantom{\times}299220\phantom{9999}}\\\phantom{\times}-1054065606\end{array}
Now add the intermediate results to get final answer.