Exactly $2$ years ago, you borrowed money to buy a car. Your original loan was for $6$ years of monthly payments at a $6\%$ APR, with monthly compounding. Each monthly payment is $$500.$ What is the remaining balance $($or$,$ principal$)$ on the loan as of today? $($Assume end$-$of$-$month payments and round to nearest $$0\mathrm{.}01$