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\begin{array}{c}\phantom{\times}1234587\\\underline{\times\phantom{}12395}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times}1234587\\\underline{\times\phantom{}12395}\\\phantom{\times}6172935\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1234587 with 5. Write the result 6172935 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times}1234587\\\underline{\times\phantom{}12395}\\\phantom{\times}6172935\\\phantom{\times}11111283\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 1234587 with 9. Write the result 11111283 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times}1234587\\\underline{\times\phantom{}12395}\\\phantom{\times}6172935\\\phantom{\times}11111283\phantom{9}\\\phantom{\times}3703761\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 1234587 with 3. Write the result 3703761 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times}1234587\\\underline{\times\phantom{}12395}\\\phantom{\times}6172935\\\phantom{\times}11111283\phantom{9}\\\phantom{\times}3703761\phantom{99}\\\phantom{\times}2469174\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 1234587 with 2. Write the result 2469174 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times}1234587\\\underline{\times\phantom{}12395}\\\phantom{\times}6172935\\\phantom{\times}11111283\phantom{9}\\\phantom{\times}3703761\phantom{99}\\\phantom{\times}2469174\phantom{999}\\\underline{\phantom{\times}1234587\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 1234587 with 1. Write the result 1234587 at the end leaving 4 spaces to the right like this.
\begin{array}{c}\phantom{\times}1234587\\\underline{\times\phantom{}12395}\\\phantom{\times}6172935\\\phantom{\times}11111283\phantom{9}\\\phantom{\times}3703761\phantom{99}\\\phantom{\times}2469174\phantom{999}\\\underline{\phantom{\times}1234587\phantom{9999}}\\\phantom{\times}-1877163319\end{array}
Now add the intermediate results to get final answer.