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\begin{array}{c}\phantom{\times99}53\\\underline{\times\phantom{99}60}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times99}53\\\underline{\times\phantom{99}60}\\\phantom{\times9999}0\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 53 with 0. Write the result 0 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times99}53\\\underline{\times\phantom{99}60}\\\phantom{\times9999}0\\\underline{\phantom{\times}318\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 53 with 6. Write the result 318 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times99}53\\\underline{\times\phantom{99}60}\\\phantom{\times9999}0\\\underline{\phantom{\times}318\phantom{9}}\\\phantom{\times}3180\end{array}
Now add the intermediate results to get final answer.