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\begin{array}{c}\phantom{\times}567859\\\underline{\times\phantom{}723140}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times}567859\\\underline{\times\phantom{}723140}\\\phantom{\times}0\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 567859 with 0. Write the result 0 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times}567859\\\underline{\times\phantom{}723140}\\\phantom{\times}0\\\phantom{\times}2271436\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 567859 with 4. Write the result 2271436 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times}567859\\\underline{\times\phantom{}723140}\\\phantom{\times}0\\\phantom{\times}2271436\phantom{9}\\\phantom{\times}567859\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 567859 with 1. Write the result 567859 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times}567859\\\underline{\times\phantom{}723140}\\\phantom{\times}0\\\phantom{\times}2271436\phantom{9}\\\phantom{\times}567859\phantom{99}\\\phantom{\times}1703577\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 567859 with 3. Write the result 1703577 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times}567859\\\underline{\times\phantom{}723140}\\\phantom{\times}0\\\phantom{\times}2271436\phantom{9}\\\phantom{\times}567859\phantom{99}\\\phantom{\times}1703577\phantom{999}\\\phantom{\times}1135718\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 567859 with 2. Write the result 1135718 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times}567859\\\underline{\times\phantom{}723140}\\\phantom{\times}0\\\phantom{\times}2271436\phantom{9}\\\phantom{\times}567859\phantom{99}\\\phantom{\times}1703577\phantom{999}\\\phantom{\times}1135718\phantom{9999}\\\underline{\phantom{\times}3975013\phantom{99999}}\\\end{array}
Now multiply the first number with the 6^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 567859 with 7. Write the result 3975013 at the end leaving 5 spaces to the right like this.
\begin{array}{c}\phantom{\times}567859\\\underline{\times\phantom{}723140}\\\phantom{\times}0\\\phantom{\times}2271436\phantom{9}\\\phantom{\times}567859\phantom{99}\\\phantom{\times}1703577\phantom{999}\\\phantom{\times}1135718\phantom{9999}\\\underline{\phantom{\times}3975013\phantom{99999}}\\\phantom{\times}-1675303156\end{array}
Now add the intermediate results to get final answer.