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\begin{array}{c}\phantom{\times999}3200000\\\underline{\times\phantom{9999}769514}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999}3200000\\\underline{\times\phantom{9999}769514}\\\phantom{\times99}12800000\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 3200000 with 4. Write the result 12800000 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999}3200000\\\underline{\times\phantom{9999}769514}\\\phantom{\times99}12800000\\\phantom{\times99}3200000\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 3200000 with 1. Write the result 3200000 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999}3200000\\\underline{\times\phantom{9999}769514}\\\phantom{\times99}12800000\\\phantom{\times99}3200000\phantom{9}\\\phantom{\times}16000000\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 3200000 with 5. Write the result 16000000 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999}3200000\\\underline{\times\phantom{9999}769514}\\\phantom{\times99}12800000\\\phantom{\times99}3200000\phantom{9}\\\phantom{\times}16000000\phantom{99}\\\phantom{\times}28800000\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 3200000 with 9. Write the result 28800000 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times999}3200000\\\underline{\times\phantom{9999}769514}\\\phantom{\times99}12800000\\\phantom{\times99}3200000\phantom{9}\\\phantom{\times}16000000\phantom{99}\\\phantom{\times}28800000\phantom{999}\\\phantom{\times}19200000\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 3200000 with 6. Write the result 19200000 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times999}3200000\\\underline{\times\phantom{9999}769514}\\\phantom{\times99}12800000\\\phantom{\times99}3200000\phantom{9}\\\phantom{\times}16000000\phantom{99}\\\phantom{\times}28800000\phantom{999}\\\phantom{\times}19200000\phantom{9999}\\\underline{\phantom{\times}22400000\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 3200000 with 7. Write the result 22400000 at the end leaving 5 spaces to the right like this.
\begin{array}{c}\phantom{\times999}3200000\\\underline{\times\phantom{9999}769514}\\\phantom{\times99}12800000\\\phantom{\times99}3200000\phantom{9}\\\phantom{\times}16000000\phantom{99}\\\phantom{\times}28800000\phantom{999}\\\phantom{\times}19200000\phantom{9999}\\\underline{\phantom{\times}22400000\phantom{99999}}\\\phantom{\times}1428539392\end{array}
Now add the intermediate results to get final answer.