A machining arrangement for drilling a hole into a front wall section of a workpiece by way of a machining jet, the front wall section being located in front of a rear wall section of the workpiece, as seen looking in a drilling direction, the rear wall section being disposed with an intermediate space at a distance from the front wall section, the machining arrangement being switchable between a continuous mode, in which the machining jet formed from liquid and abrasive material continuously impinges on the workpiece, and a pulsed mode, in which the machining jet is pulsed, so that the impingement of at least on of said liquid and said abrasive material on the workpiece is recurrently interrupted, the machining arrangement including a controller which is programmed and configured so that the hole is drilled at least partially in the pulsed mode.