Mary has a charge card. She receives a bill, dated January $5.$ The balance fluctuated during the billing period as follows: the balance was $$500$ for the first $3$ days, $$980$ for the next $5$ days, $$255$ for the next $10$ days, $$800$ for the next $5$ days, and $$1,020$ for the last $8$ days. Calculate your average daily balance.