Now multiply the first number with the $1^{st}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 7689 with 8. Write the result 61512 at the end leaving 0 spaces to the right like this.
Now multiply the first number with the $2^{nd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 7689 with 2. Write the result 15378 at the end leaving 1 spaces to the right like this.
Now multiply the first number with the $3^{rd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 7689 with 6. Write the result 46134 at the end leaving 2 spaces to the right like this.