Use a steamer insert.

You can also do it with about 1/4 inch of water in the pan, a lid and keep a close eye on it....but a steamer basket is better with less chance of burning it.
Linda C

This is what I do and people seem to like it:
Wash and cut the broccoli, placing coarser, more fibrous sections in one pile and florets in another.
Place two inches of water in saucepan, cover, bring to a rolling boil.
Carefully drop the coarser pile into the pan. Steam until somewhat under done.
Place the florets on top of the coarser part (above the water level); cover, and steam until desired tenderness has been reached. You may need to experiment with timing.
Plunge pan into an ice-filled bowl to stop cooking.
Drain and serve.