Abstract: The object of the present invention is the treatment of a curd (5) obtained from milk (1) which had been subjected to a pretreatment aimed at coagulating the milk casein and precipitating the whey protein through a microfiltration loop (30) comprising at least one cartridge (34) with ceramic tubes (36), so as to separate the cheese from the whey.The device comprises a means for a sequential unclogging under high pressure (39, 43, 44) by reverse permeation for a short period of time without interrupting the continuous microfiltration. Advantages: increased useful life, no clogging, cleaning and sterilization with all the acid and alkaline products used in a dairy plant, insensitiveness to pH, preservation of the quality of the product, low pressure drop across the membrane, high yield.