The present invention relates to a method for fractionating a crude mixture comprising at least one oil and at least one wax, which comprises the following method steps: (a) carrying out a pre-fractionation stage as a layer crystallization (i) with a crude mixture comprising at least one oil and at least one wax or (ii) with a crude solvent mixture obtained by adding prior to the pre-fractionation stage at most 100% by weight of solvent relative to the weight of the crude mixture, to prepare a first fraction containing low waxy oil and a second fraction containing low oily wax, (b) carrying out a first crystallization stage including (b1) a first suspension crystallization sub-stage with the first fraction containing low waxy oil to prepare a third fraction containing dewaxed oil and a fourth fraction and (b2) after the first suspension crystallization sub-stage, a second suspension crystallization sub-stage with a mixture of the fourth fraction obtained in method step (b1) and the second fraction containing low oily wax obtained in the pre-fractionation stage of method step (a) to prepare a fifth fraction containing slack wax and a sixth fraction.