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\begin{array}{c}\phantom{\times9999999}999\\\underline{\times\phantom{999}1862481}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times9999999}999\\\underline{\times\phantom{999}1862481}\\\phantom{\times9999999}999\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 999 with 1. Write the result 999 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times9999999}999\\\underline{\times\phantom{999}1862481}\\\phantom{\times9999999}999\\\phantom{\times99999}7992\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 999 with 8. Write the result 7992 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times9999999}999\\\underline{\times\phantom{999}1862481}\\\phantom{\times9999999}999\\\phantom{\times99999}7992\phantom{9}\\\phantom{\times9999}3996\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 999 with 4. Write the result 3996 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times9999999}999\\\underline{\times\phantom{999}1862481}\\\phantom{\times9999999}999\\\phantom{\times99999}7992\phantom{9}\\\phantom{\times9999}3996\phantom{99}\\\phantom{\times999}1998\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 999 with 2. Write the result 1998 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times9999999}999\\\underline{\times\phantom{999}1862481}\\\phantom{\times9999999}999\\\phantom{\times99999}7992\phantom{9}\\\phantom{\times9999}3996\phantom{99}\\\phantom{\times999}1998\phantom{999}\\\phantom{\times99}5994\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 999 with 6. Write the result 5994 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times9999999}999\\\underline{\times\phantom{999}1862481}\\\phantom{\times9999999}999\\\phantom{\times99999}7992\phantom{9}\\\phantom{\times9999}3996\phantom{99}\\\phantom{\times999}1998\phantom{999}\\\phantom{\times99}5994\phantom{9999}\\\phantom{\times9}7992\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 999 with 8. Write the result 7992 at the end leaving 5 spaces to the right like this.
\begin{array}{c}\phantom{\times9999999}999\\\underline{\times\phantom{999}1862481}\\\phantom{\times9999999}999\\\phantom{\times99999}7992\phantom{9}\\\phantom{\times9999}3996\phantom{99}\\\phantom{\times999}1998\phantom{999}\\\phantom{\times99}5994\phantom{9999}\\\phantom{\times9}7992\phantom{99999}\\\underline{\phantom{\times9}999\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 999 with 1. Write the result 999 at the end leaving 6 spaces to the right like this.
\begin{array}{c}\phantom{\times9999999}999\\\underline{\times\phantom{999}1862481}\\\phantom{\times9999999}999\\\phantom{\times99999}7992\phantom{9}\\\phantom{\times9999}3996\phantom{99}\\\phantom{\times999}1998\phantom{999}\\\phantom{\times99}5994\phantom{9999}\\\phantom{\times9}7992\phantom{99999}\\\underline{\phantom{\times9}999\phantom{999999}}\\\phantom{\times}1860618519\end{array}
Now add the intermediate results to get final answer.