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\begin{array}{c}\phantom{\times9}12345679\\\underline{\times\phantom{9999999}54}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times9}12345679\\\underline{\times\phantom{9999999}54}\\\phantom{\times9}49382716\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 12345679 with 4. Write the result 49382716 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times9}12345679\\\underline{\times\phantom{9999999}54}\\\phantom{\times9}49382716\\\underline{\phantom{\times}61728395\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 12345679 with 5. Write the result 61728395 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times9}12345679\\\underline{\times\phantom{9999999}54}\\\phantom{\times9}49382716\\\underline{\phantom{\times}61728395\phantom{9}}\\\phantom{\times}666666666\end{array}
Now add the intermediate results to get final answer.