Abstract: A method for continuously digesting cellulosic fiber material so that the digested pulp has a very low quantity of reject material (i.e. one to two percent) compared to the prior art. Fiber material is continuously fed into a standing vessel downwardly through the vessel steam phase to establish a fiber level, digesting liquid being added to the vessel to maintain a liquid level therein, and the digested pulp being withdrawn from the bottom of the vessel. Spreading of the downwardly flowing fiber material in the steam phase substantially evenly over the vessel cross-section is effected and the downwardly flowing fiber material is heated by introducing a major portion of the steam to be introduced into the steam phase at a first vertical position about 0.0 to 100 cm. above the higher of the fiber and liquid levels in the vessel.Some of the steam may be added at a second vertical level, or at a third vertical level.