You have taken out a $60-$month, $$$$26,000$ car loan with an APR of $8\%,$ compounded monthly. The monthly payment on the loan is $$$$527\mathrm{.}19.$ Assume that right after you make your $50$th $$payment$,$ the balance of the loan is $$$$5,083\mathrm{.}64.$ How much of your next payment goes toward principal and how much goes toward$$ interest? Compare this with the prinicipal and interest paid in the first$$ month's payment. $($Note$$: Be careful not to round any intermediate steps less than six decimal$$ places.$)$