Is division a chaotic system?

>"Chaos theory is a branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions. " - https://en.wikipedia.org/wiki/Chaos_theory

Depending on the initial condition, the results of division can be highly different. If you create an irrational number through division, it's practically random.

I suspect that this is a sort of category mistake, and a stretch of the definition of chaotic systems, but what if it's not?