Step 1 :First, we need to understand that the total amount borrowed already includes the interest. So, the total amount to be paid back is $\$21,504$.
Step 2 :Next, we need to calculate the number of payments. Since the loan is to be paid off in monthly payments over a period of 8 years, there are $8 \times 12 = 96$ payments in total.
Step 3 :Finally, we divide the total amount by the number of payments to find out how much each payment should be. So, each payment should be $\frac{\$21,504}{96} \approx \$223.79$.
Step 4 :Thus, each payment should be approximately $\boxed{\$223.79}$.