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\begin{array}{c}\phantom{\times999}850668\\\underline{\times\phantom{99}1712304}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999}850668\\\underline{\times\phantom{99}1712304}\\\phantom{\times99}3402672\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 850668 with 4. Write the result 3402672 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999}850668\\\underline{\times\phantom{99}1712304}\\\phantom{\times99}3402672\\\phantom{\times99999999}0\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 850668 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999}850668\\\underline{\times\phantom{99}1712304}\\\phantom{\times99}3402672\\\phantom{\times99999999}0\phantom{9}\\\phantom{\times}2552004\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 850668 with 3. Write the result 2552004 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999}850668\\\underline{\times\phantom{99}1712304}\\\phantom{\times99}3402672\\\phantom{\times99999999}0\phantom{9}\\\phantom{\times}2552004\phantom{99}\\\phantom{\times}1701336\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 850668 with 2. Write the result 1701336 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times999}850668\\\underline{\times\phantom{99}1712304}\\\phantom{\times99}3402672\\\phantom{\times99999999}0\phantom{9}\\\phantom{\times}2552004\phantom{99}\\\phantom{\times}1701336\phantom{999}\\\phantom{\times}850668\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 850668 with 1. Write the result 850668 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times999}850668\\\underline{\times\phantom{99}1712304}\\\phantom{\times99}3402672\\\phantom{\times99999999}0\phantom{9}\\\phantom{\times}2552004\phantom{99}\\\phantom{\times}1701336\phantom{999}\\\phantom{\times}850668\phantom{9999}\\\phantom{\times}5954676\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 850668 with 7. Write the result 5954676 at the end leaving 5 spaces to the right like this.
\begin{array}{c}\phantom{\times999}850668\\\underline{\times\phantom{99}1712304}\\\phantom{\times99}3402672\\\phantom{\times99999999}0\phantom{9}\\\phantom{\times}2552004\phantom{99}\\\phantom{\times}1701336\phantom{999}\\\phantom{\times}850668\phantom{9999}\\\phantom{\times}5954676\phantom{99999}\\\underline{\phantom{\times}850668\phantom{999999}}\\\end{array}
Now multiply the first number with the 7^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 850668 with 1. Write the result 850668 at the end leaving 6 spaces to the right like this.
\begin{array}{c}\phantom{\times999}850668\\\underline{\times\phantom{99}1712304}\\\phantom{\times99}3402672\\\phantom{\times99999999}0\phantom{9}\\\phantom{\times}2552004\phantom{99}\\\phantom{\times}1701336\phantom{999}\\\phantom{\times}850668\phantom{9999}\\\phantom{\times}5954676\phantom{99999}\\\underline{\phantom{\times}850668\phantom{999999}}\\\phantom{\times}608305728\end{array}
Now add the intermediate results to get final answer.