The device for cutting sets of continuous forms (14) provided with transversal perforations by means of a tearing arrangement (22) comprised of two pairs of transporting rollers (72 and 74) spaced from each other is arranged so that both pairs of transporting rollers (72 and 74) are driven at the same speed up to the moment where the next transversal perforation is between the two pairs of rollers (72 and 74). At that time, the driving speed of the downstream pair of rollers is doubled, thereby causing the tearing of the perforation. The individual locations of detached portions of the set are delimited by separation bands (30); each detached portion may be conveyed to a particular reception box. The length to be cut may be manually provided to a control installation or may be read by a detector (202) by means of a marking corresponding to the web (14).
