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\begin{array}{c}\phantom{\times999}75\\\underline{\times\phantom{99}314}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999}75\\\underline{\times\phantom{99}314}\\\phantom{\times99}300\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 75 with 4. Write the result 300 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999}75\\\underline{\times\phantom{99}314}\\\phantom{\times99}300\\\phantom{\times99}75\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 75 with 1. Write the result 75 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999}75\\\underline{\times\phantom{99}314}\\\phantom{\times99}300\\\phantom{\times99}75\phantom{9}\\\underline{\phantom{\times}225\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 75 with 3. Write the result 225 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999}75\\\underline{\times\phantom{99}314}\\\phantom{\times99}300\\\phantom{\times99}75\phantom{9}\\\underline{\phantom{\times}225\phantom{99}}\\\phantom{\times}23550\end{array}
Now add the intermediate results to get final answer.