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\begin{array}{c}\phantom{\times}492874\\\underline{\times\phantom{}6897}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times}492874\\\underline{\times\phantom{}6897}\\\phantom{\times}3450118\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 492874 with 7. Write the result 3450118 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times}492874\\\underline{\times\phantom{}6897}\\\phantom{\times}3450118\\\phantom{\times}4435866\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 492874 with 9. Write the result 4435866 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times}492874\\\underline{\times\phantom{}6897}\\\phantom{\times}3450118\\\phantom{\times}4435866\phantom{9}\\\phantom{\times}3942992\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 492874 with 8. Write the result 3942992 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times}492874\\\underline{\times\phantom{}6897}\\\phantom{\times}3450118\\\phantom{\times}4435866\phantom{9}\\\phantom{\times}3942992\phantom{99}\\\underline{\phantom{\times}2957244\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 492874 with 6. Write the result 2957244 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times}492874\\\underline{\times\phantom{}6897}\\\phantom{\times}3450118\\\phantom{\times}4435866\phantom{9}\\\phantom{\times}3942992\phantom{99}\\\underline{\phantom{\times}2957244\phantom{999}}\\\phantom{\times}-895615318\end{array}
Now add the intermediate results to get final answer.