When to stop charging a late fee

[Kyle Grimm]

So my question is, when do I stop charging my tenant a daily late fee charge if he has already paid most of rent but maybe still owes $100 for that month?  

I have a renter who usually is about a week or two late with rent.  So I charge him a daily late fee penalty.  He can usually get me the rent within that week or two but not the full amount.  It is a mess I admit.  Should I keep charging him the daily late fee penalty until the full amount has been paid or should I stop the charge when he has paid most of it.  New landlord here!