Calculate: 2586*3815

Expression: $$2586 \cdot 3815$$

First line up the numbers vertically and match the places from the right like this.

$$\begin{array}{c}\phantom{\times999}2586\\\underline{\times\phantom{999}3815}\\\end{array}$$

Now multiply the first number with the $1^{st}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 2586 with 5. Write the result 12930 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2586\\\underline{\times\phantom{999}3815}\\\phantom{\times99}12930\\\end{array}$$

Now multiply the first number with the $2^{nd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 2586 with 1. Write the result 2586 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2586\\\underline{\times\phantom{999}3815}\\\phantom{\times99}12930\\\phantom{\times99}2586\phantom{9}\\\end{array}$$

Now multiply the first number with the $3^{rd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 2586 with 8. Write the result 20688 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2586\\\underline{\times\phantom{999}3815}\\\phantom{\times99}12930\\\phantom{\times99}2586\phantom{9}\\\phantom{\times}20688\phantom{99}\\\end{array}$$

Now multiply the first number with the $4^{th}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 2586 with 3. Write the result 7758 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2586\\\underline{\times\phantom{999}3815}\\\phantom{\times99}12930\\\phantom{\times99}2586\phantom{9}\\\phantom{\times}20688\phantom{99}\\\underline{\phantom{\times}7758\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}2586\\\underline{\times\phantom{999}3815}\\\phantom{\times99}12930\\\phantom{\times99}2586\phantom{9}\\\phantom{\times}20688\phantom{99}\\\underline{\phantom{\times}7758\phantom{999}}\\\phantom{\times}9865590\end{array}$$