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\begin{array}{c}\phantom{\times}59789343\\\underline{\times\phantom{}7814}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times}59789343\\\underline{\times\phantom{}7814}\\\phantom{\times}239157372\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 59789343 with 4. Write the result 239157372 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times}59789343\\\underline{\times\phantom{}7814}\\\phantom{\times}239157372\\\phantom{\times}59789343\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 59789343 with 1. Write the result 59789343 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times}59789343\\\underline{\times\phantom{}7814}\\\phantom{\times}239157372\\\phantom{\times}59789343\phantom{9}\\\phantom{\times}478314744\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 59789343 with 8. Write the result 478314744 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times}59789343\\\underline{\times\phantom{}7814}\\\phantom{\times}239157372\\\phantom{\times}59789343\phantom{9}\\\phantom{\times}478314744\phantom{99}\\\underline{\phantom{\times}418525401\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 59789343 with 7. Write the result 418525401 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times}59789343\\\underline{\times\phantom{}7814}\\\phantom{\times}239157372\\\phantom{\times}59789343\phantom{9}\\\phantom{\times}478314744\phantom{99}\\\underline{\phantom{\times}418525401\phantom{999}}\\\phantom{\times}-957509062\end{array}
Now add the intermediate results to get final answer.