Continuously coating cores by a dragee-making apparatus including at least one rotatably driven drum in which the product is coated with one or several coating materials or is subjected to other treatment processes. The charge of the product to be processed divided into small individual charges at the inlet end of the drum is conveyed through the drum in a clocked manner and treated in individual treatment chambers separated from each other. The longitudinal conveyor that conveys the individual charges through the drum embodies the individual treatment chambers in connection with the inner wall of the drum. The products to be treated constantly rotate in the revolving drum without being conveyed in the longitudinal direction, the longitudinal conveyor located in the drum conveying the product from one treatment station to the next as required. A passage is formed from one chamber to the adjacent, other chamber if necessary.