How do the precision and divide and outline will remove unpainted artwork options of the pathfinder panel work?

Question

Adobe Illustrator

How to surprise them in action, what are they for?

Answer 1

Remove Redundant points + Divide:
divide and outline will remove unpainted artwork + Divide:
Regarding Prescision (accuracy), I suspect that in the case of all sorts of cunningly elongated vectors, Pathfinder can produce non-ideal results, this parameter can increase accuracy (probably due to additional nodes).