  We derive Maximal Kakeya estimates for functions over
$\mathbb{Z}/N\mathbb{Z}$ proving the Maximal Kakeya conjecture for
$\mathbb{Z}/N\mathbb{Z}$ for general $N$ as stated by Hickman and Wright
[HW18]. The proof involves using polynomial method and linear algebra
techniques from [Dha21, Ars21a, DD21] and generalizing a probabilistic method
argument from [DD22]. As another application we give lower bounds for the size
of $(m,\epsilon)$-Kakeya sets over $\mathbb{Z}/N\mathbb{Z}$. Using these ideas
we also give a new, simpler, and direct proof for Maximal Kakeya bounds over
finite fields (which were first proven in [EOT10]) with almost sharp constants.
