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\begin{array}{c}\phantom{\times99}287\\\underline{\times\phantom{99}287}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times99}287\\\underline{\times\phantom{99}287}\\\phantom{\times9}2009\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 287 with 7. Write the result 2009 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times99}287\\\underline{\times\phantom{99}287}\\\phantom{\times9}2009\\\phantom{\times}2296\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 287 with 8. Write the result 2296 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times99}287\\\underline{\times\phantom{99}287}\\\phantom{\times9}2009\\\phantom{\times}2296\phantom{9}\\\underline{\phantom{\times}574\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 287 with 2. Write the result 574 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times99}287\\\underline{\times\phantom{99}287}\\\phantom{\times9}2009\\\phantom{\times}2296\phantom{9}\\\underline{\phantom{\times}574\phantom{99}}\\\phantom{\times}82369\end{array}
Now add the intermediate results to get final answer.