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\begin{array}{c}\phantom{\times999}68342\\\underline{\times\phantom{99999}426}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999}68342\\\underline{\times\phantom{99999}426}\\\phantom{\times99}410052\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 68342 with 6. Write the result 410052 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999}68342\\\underline{\times\phantom{99999}426}\\\phantom{\times99}410052\\\phantom{\times9}136684\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 68342 with 2. Write the result 136684 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999}68342\\\underline{\times\phantom{99999}426}\\\phantom{\times99}410052\\\phantom{\times9}136684\phantom{9}\\\underline{\phantom{\times}273368\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 68342 with 4. Write the result 273368 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999}68342\\\underline{\times\phantom{99999}426}\\\phantom{\times99}410052\\\phantom{\times9}136684\phantom{9}\\\underline{\phantom{\times}273368\phantom{99}}\\\phantom{\times}29113692\end{array}
Now add the intermediate results to get final answer.