With a band casting-setting-burn-cutting machine in a line-like layout, to thermochemically separate from raw material of great width and thickness to roll out sheets of steel, in particular with high finishing speeds, is presented an attachment system; that without touching or with just the smallest stress through a measuring roller (2) or through an in- or on-attaching system regulates the simultaneous speeds between the band-like material (1) and the band casting-setting-burn-cutting machine (3) for the burn-cutting to be effected.