Usage patterns
〈物〉を別々に払うto pay separately (for something, e.g. a bill)
We paid separately for the bill at the restaurant.
別々に暮らすto live separately (from each other)
My parents live separately.
別々の〈物〉separate/different (things)
The two of them stayed in separate rooms.
別々に行動するto act separately/individually
Let's act separately to avoid the crowds.