A process for removing printing inks from printed wastepaper in the presence of a deinking chemical is provided. In this process printed wastepaper is disintegrated to form a paper stock suspension and the detached printing ink particles are removed in known manner by flotation or washing in another stage. In this process, alkoxylates of blown oils are used as the deinking chemical. The deinking chemical is added during disintegration and/or before the flotation or washing step. Preferably, the printed wastepaper is disintegrated in the presence of 0.02 to 2% by weight and preferably 0.1 to 0.8% by weight, based on air-dry paper stock, of alkoxylates of blown oils. This deinking chemical also removed printing inks from paper circuit waters.