From Longman Dictionary of Contemporary Englishdo the roundsdo the roundsBritish English informal, make the rounds American English (also go the rounds British English)GIVE if a story, idea, or illness does the rounds, it is passed on from one person to another a joke doing the rounds → round
Examples from the Corpus
do the rounds• Without references, letters may do the rounds of various desks before the correct destination is found.• The first offered to do the rounds for five dollars. 