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\begin{array}{c}\phantom{\times}74815228\\\underline{\times\phantom{}584152}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times}74815228\\\underline{\times\phantom{}584152}\\\phantom{\times}149630456\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 74815228 with 2. Write the result 149630456 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times}74815228\\\underline{\times\phantom{}584152}\\\phantom{\times}149630456\\\phantom{\times}374076140\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 74815228 with 5. Write the result 374076140 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times}74815228\\\underline{\times\phantom{}584152}\\\phantom{\times}149630456\\\phantom{\times}374076140\phantom{9}\\\phantom{\times}74815228\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 74815228 with 1. Write the result 74815228 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times}74815228\\\underline{\times\phantom{}584152}\\\phantom{\times}149630456\\\phantom{\times}374076140\phantom{9}\\\phantom{\times}74815228\phantom{99}\\\phantom{\times}299260912\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 74815228 with 4. Write the result 299260912 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times}74815228\\\underline{\times\phantom{}584152}\\\phantom{\times}149630456\\\phantom{\times}374076140\phantom{9}\\\phantom{\times}74815228\phantom{99}\\\phantom{\times}299260912\phantom{999}\\\phantom{\times}598521824\phantom{9999}\\\end{array}
Now multiply the first number with the 5^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 74815228 with 8. Write the result 598521824 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times}74815228\\\underline{\times\phantom{}584152}\\\phantom{\times}149630456\\\phantom{\times}374076140\phantom{9}\\\phantom{\times}74815228\phantom{99}\\\phantom{\times}299260912\phantom{999}\\\phantom{\times}598521824\phantom{9999}\\\underline{\phantom{\times}374076140\phantom{99999}}\\\end{array}
Now multiply the first number with the 6^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 74815228 with 5. Write the result 374076140 at the end leaving 5 spaces to the right like this.
\begin{array}{c}\phantom{\times}74815228\\\underline{\times\phantom{}584152}\\\phantom{\times}149630456\\\phantom{\times}374076140\phantom{9}\\\phantom{\times}74815228\phantom{99}\\\phantom{\times}299260912\phantom{999}\\\phantom{\times}598521824\phantom{9999}\\\underline{\phantom{\times}374076140\phantom{99999}}\\\phantom{\times}-2122137440\end{array}
Now add the intermediate results to get final answer.