However in general, neurons don't divide. There are a few reasons why. One is structural. The tree shape of a neuron is not really divisible. When new neurons are created during brain development, they come from spherical progenitor or neural stem cells, usually in specialized "neuron factory" regions of the brain. read more
For any animal cell to divide, spindle-like structures have to be formed by the centrosome, which in its turn is formed by the chromatin granules if — and only if—- all these granules remain within the nucleus. But in nerve cells, some of these granules remain scattered in the cytoplasm outside the nucleus. read more