Answer :

In general, the location that Hinduism and Buddhism spread to during Ancient Indian Civilization was in the East, specifically in the region of China. 

About the beginning of the Common Era, Hinduism and Buddhism spread from India to the civilizations of Southeast Asia, China, Korea, and Japan. Maybe due to the Brahmans and Buddhist monks who worked with the Indian merchants which settled in these areas.  

Such religions exerted an enormous influence on the civilizations of Southeast Asia and contributed greatly to the development of a written tradition in that area.

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