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\begin{array}{c}\phantom{\times999999}23\\\underline{\times\phantom{9}1693721}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999999}23\\\underline{\times\phantom{9}1693721}\\\phantom{\times999999}23\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 23 with 1. Write the result 23 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999999}23\\\underline{\times\phantom{9}1693721}\\\phantom{\times999999}23\\\phantom{\times99999}46\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 23 with 2. Write the result 46 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999999}23\\\underline{\times\phantom{9}1693721}\\\phantom{\times999999}23\\\phantom{\times99999}46\phantom{9}\\\phantom{\times999}161\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 23 with 7. Write the result 161 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999999}23\\\underline{\times\phantom{9}1693721}\\\phantom{\times999999}23\\\phantom{\times99999}46\phantom{9}\\\phantom{\times999}161\phantom{99}\\\phantom{\times999}69\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 23 with 3. Write the result 69 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times999999}23\\\underline{\times\phantom{9}1693721}\\\phantom{\times999999}23\\\phantom{\times99999}46\phantom{9}\\\phantom{\times999}161\phantom{99}\\\phantom{\times999}69\phantom{999}\\\phantom{\times9}207\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 23 with 9. Write the result 207 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times999999}23\\\underline{\times\phantom{9}1693721}\\\phantom{\times999999}23\\\phantom{\times99999}46\phantom{9}\\\phantom{\times999}161\phantom{99}\\\phantom{\times999}69\phantom{999}\\\phantom{\times9}207\phantom{9999}\\\phantom{\times}138\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 23 with 6. Write the result 138 at the end leaving 5 spaces to the right like this.
\begin{array}{c}\phantom{\times999999}23\\\underline{\times\phantom{9}1693721}\\\phantom{\times999999}23\\\phantom{\times99999}46\phantom{9}\\\phantom{\times999}161\phantom{99}\\\phantom{\times999}69\phantom{999}\\\phantom{\times9}207\phantom{9999}\\\phantom{\times}138\phantom{99999}\\\underline{\phantom{\times}23\phantom{999999}}\\\end{array}
Now multiply the first number with the 7^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 23 with 1. Write the result 23 at the end leaving 6 spaces to the right like this.
\begin{array}{c}\phantom{\times999999}23\\\underline{\times\phantom{9}1693721}\\\phantom{\times999999}23\\\phantom{\times99999}46\phantom{9}\\\phantom{\times999}161\phantom{99}\\\phantom{\times999}69\phantom{999}\\\phantom{\times9}207\phantom{9999}\\\phantom{\times}138\phantom{99999}\\\underline{\phantom{\times}23\phantom{999999}}\\\phantom{\times}38955583\end{array}
Now add the intermediate results to get final answer.