To those in the navy , how far were you from the nearest washroom?

Usually about 30–40 feet.
I was on the Yarnell, which was a guided missile frigate when I was assigned there (1969–1972).

It was 547 feet long.

On the USS Seawolf (SSN575), not far. It was only 400 ft long and there were 4 sets of toilets (fore, mid, aft, officers), but the sinks were not right in the toilet room. Nearby, but not in.