I think you are making a big deal out of nothing. Navigation was accomplished by slide rule for years. Radar and the beacon locate a plane to within a few feet. Navigation aids keep a airplane on course within a few feet. Gyro compass will keep an airplane on course. Flight computers are constantly updating and maintaining course and of course the pilot would not be worried because his flying skills are not concerned by a divide by zero error. I think you are making a big deal out of nothing.
And before that, humans got around just fine on horses or their feet for centuries. I prefer not to go backwards.