If something is done symbolically, it means it is done to show a bigger idea or feeling, not just for itself.
Doing something symbolically can make people think of tradition, culture, or deeper meanings.
Examples:
She gave him a flower symbolically.
He wore a green hat symbolically.
They painted the door symbolically.
I ate the cake symbolically, but I was still hungry.
He ran around the house symbolically, pretending to be a fast animal.
She symbolically gave him a big fake diamond ring.