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\begin{array}{c}\phantom{\times}1111111234\\\underline{\times\phantom{}11}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times}1111111234\\\underline{\times\phantom{}11}\\\phantom{\times}1111111234\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1111111234 with 1. Write the result 1111111234 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times}1111111234\\\underline{\times\phantom{}11}\\\phantom{\times}1111111234\\\underline{\phantom{\times}1111111234\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 1111111234 with 1. Write the result 1111111234 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times}1111111234\\\underline{\times\phantom{}11}\\\phantom{\times}1111111234\\\underline{\phantom{\times}1111111234\phantom{9}}\\\phantom{\times}-662678314\end{array}
Now add the intermediate results to get final answer.