The parasympathetic division of the autonomic nervous system is called

Rest and digest system

Explanation:

The parasympathetic nervous system is a part of the autonomic part of the nervous system which on the basis of the function they perform is known as the rest and digest system.

The parasympathetic system is activated after the sympathetic nervous system which is associated with the fight or flight response.

The rest and digest system dilates the pupil, maintain the blood flow, increases digestion and the relaxes the body after the excited mode due to fight or flight response

Thus, rest and digest system is correct.