  We establish a lower bound of 2/p(p-1) for the asymptotic density of the
Motzkin numbers divisible by a general prime number p > 3. We provide a
criteria for when this asymptotic density is actually 1. We also provide a
partial characterisation of those Motzkin numbers which are divisible by a
prime p > 3. All results are obtained using the automata method of Rowland and
Yassawi.
