Buddhism began to spread toward the south from its original place in Northern India to Sri-Lanka, Burma, Thailand, Indo-China and other south Asian countries. It moved northwards into the Himalayan kingdoms, Tibet,Mongolia and other parts of Central Asia. and also into China and later moved to Korea and Japan.
I’m not so sure about the north but i know that the south was very angry because they claimed it was an inaccurate depiction of slaveholders. I hope this helps!