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\begin{array}{c}\phantom{\times999}500\\\underline{\times\phantom{99}1287}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999}500\\\underline{\times\phantom{99}1287}\\\phantom{\times99}3500\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 500 with 7. Write the result 3500 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999}500\\\underline{\times\phantom{99}1287}\\\phantom{\times99}3500\\\phantom{\times9}4000\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 500 with 8. Write the result 4000 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999}500\\\underline{\times\phantom{99}1287}\\\phantom{\times99}3500\\\phantom{\times9}4000\phantom{9}\\\phantom{\times}1000\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 500 with 2. Write the result 1000 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999}500\\\underline{\times\phantom{99}1287}\\\phantom{\times99}3500\\\phantom{\times9}4000\phantom{9}\\\phantom{\times}1000\phantom{99}\\\underline{\phantom{\times}500\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 500 with 1. Write the result 500 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times999}500\\\underline{\times\phantom{99}1287}\\\phantom{\times99}3500\\\phantom{\times9}4000\phantom{9}\\\phantom{\times}1000\phantom{99}\\\underline{\phantom{\times}500\phantom{999}}\\\phantom{\times}643500\end{array}
Now add the intermediate results to get final answer.