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\begin{array}{c}\phantom{\times999}891623\\\underline{\times\phantom{9999}86948}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999}891623\\\underline{\times\phantom{9999}86948}\\\phantom{\times99}7132984\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 891623 with 8. Write the result 7132984 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999}891623\\\underline{\times\phantom{9999}86948}\\\phantom{\times99}7132984\\\phantom{\times9}3566492\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 891623 with 4. Write the result 3566492 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999}891623\\\underline{\times\phantom{9999}86948}\\\phantom{\times99}7132984\\\phantom{\times9}3566492\phantom{9}\\\phantom{\times}8024607\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 891623 with 9. Write the result 8024607 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999}891623\\\underline{\times\phantom{9999}86948}\\\phantom{\times99}7132984\\\phantom{\times9}3566492\phantom{9}\\\phantom{\times}8024607\phantom{99}\\\phantom{\times}5349738\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 891623 with 6. Write the result 5349738 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times999}891623\\\underline{\times\phantom{9999}86948}\\\phantom{\times99}7132984\\\phantom{\times9}3566492\phantom{9}\\\phantom{\times}8024607\phantom{99}\\\phantom{\times}5349738\phantom{999}\\\underline{\phantom{\times}7132984\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 891623 with 8. Write the result 7132984 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times999}891623\\\underline{\times\phantom{9999}86948}\\\phantom{\times99}7132984\\\phantom{\times9}3566492\phantom{9}\\\phantom{\times}8024607\phantom{99}\\\phantom{\times}5349738\phantom{999}\\\underline{\phantom{\times}7132984\phantom{9999}}\\\phantom{\times}215425276\end{array}
Now add the intermediate results to get final answer.