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\begin{array}{c}\phantom{\times}2268948\\\underline{\times\phantom{}2268948}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times}2268948\\\underline{\times\phantom{}2268948}\\\phantom{\times}18151584\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 2268948 with 8. Write the result 18151584 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times}2268948\\\underline{\times\phantom{}2268948}\\\phantom{\times}18151584\\\phantom{\times}9075792\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 2268948 with 4. Write the result 9075792 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times}2268948\\\underline{\times\phantom{}2268948}\\\phantom{\times}18151584\\\phantom{\times}9075792\phantom{9}\\\phantom{\times}20420532\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 2268948 with 9. Write the result 20420532 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times}2268948\\\underline{\times\phantom{}2268948}\\\phantom{\times}18151584\\\phantom{\times}9075792\phantom{9}\\\phantom{\times}20420532\phantom{99}\\\phantom{\times}18151584\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 2268948 with 8. Write the result 18151584 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times}2268948\\\underline{\times\phantom{}2268948}\\\phantom{\times}18151584\\\phantom{\times}9075792\phantom{9}\\\phantom{\times}20420532\phantom{99}\\\phantom{\times}18151584\phantom{999}\\\phantom{\times}13613688\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 2268948 with 6. Write the result 13613688 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times}2268948\\\underline{\times\phantom{}2268948}\\\phantom{\times}18151584\\\phantom{\times}9075792\phantom{9}\\\phantom{\times}20420532\phantom{99}\\\phantom{\times}18151584\phantom{999}\\\phantom{\times}13613688\phantom{9999}\\\phantom{\times}4537896\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 2268948 with 2. Write the result 4537896 at the end leaving 5 spaces to the right like this.
\begin{array}{c}\phantom{\times}2268948\\\underline{\times\phantom{}2268948}\\\phantom{\times}18151584\\\phantom{\times}9075792\phantom{9}\\\phantom{\times}20420532\phantom{99}\\\phantom{\times}18151584\phantom{999}\\\phantom{\times}13613688\phantom{9999}\\\phantom{\times}4537896\phantom{99999}\\\underline{\phantom{\times}4537896\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 2268948 with 2. Write the result 4537896 at the end leaving 6 spaces to the right like this.
\begin{array}{c}\phantom{\times}2268948\\\underline{\times\phantom{}2268948}\\\phantom{\times}18151584\\\phantom{\times}9075792\phantom{9}\\\phantom{\times}20420532\phantom{99}\\\phantom{\times}18151584\phantom{999}\\\phantom{\times}13613688\phantom{9999}\\\phantom{\times}4537896\phantom{99999}\\\underline{\phantom{\times}4537896\phantom{999999}}\\\phantom{\times}-1540761200\end{array}
Now add the intermediate results to get final answer.