As many as nine wickets fell in the opening session of the day as Windies were first bowled out for 111, and reduced to 46/4 at Lunch on Day 3 after being asked to follow-on.
Shimron Hetmyer kept Bangladesh at bay with an attacking innings of 93 off 92.
Hetmyer launched as many as nine sixes in his quickfire knock, but wickets tumbled at the other end.
Mehidy Hasan returned 12 wickets for the Test - the second time he has picked up a ten-wicket haul.
Bangladesh eventually bowled out Windies for 213 to wrap up a series win,
Bangladesh won the series 2-0 - their first series win against the Windies.