A process for the continuous distillative separation of mixtures comprising morpholine (MO), monoaminodiglycol (ADG), ammonia, water and methoxyethanol (MOE), obtained by reacting diethylene glycol (DEG) with ammonia, wherein ammonia, water, ADG and DEG are removed by distillation and the resulting stream comprising MO and MOE is supplied to a distillation column K40 in which at a top pressure of from 20 to 2000 mbar MO, MOE and organic products having a boiling point 128° C. (1.013 bar) are removed via the bottom and organic products having a boiling point 128° C. are removed overhead, and also MO is removed via a side draw, where K40 is equipped with an evaporator for heating the bottoms, into which is fed heating vapor having a pressure of from 1 to 10 bar.