A method for producing a first intermediate product, comprising the steps of a. providing a feedstock that comprises a first polyester; b. contacting the feedstock with a first amount of a first organic compound in a volume section V 1 to obtain a first initial mixture, wherein the first amount is in the form of a liquid and wherein the intrinsic viscosity of the first polyester in the volume section V 1 varies by less than 15 %; c. transporting the first polyester from the volume section V 1 to a volume section V2; d. contacting the first polyester with a further amount of the first organic compound in the volume section V 2; e. reducing an intrinsic viscosity of the first polyester in the volume section V 2, wherein, after the reductions step has been completed, the first polyester has an intrinsic viscosity in the range of 0.10 dL/g to 0.45 dL/g; f. transporting the first polyester to a volume section V 3; g. contacting the first polyester with a further organic compound in the volume section V 3 to obtain a further initial mixture; h. reducing a weight average molar mass of the first polyester in the volume section V 3 to obtain a first intermediate mixture, wherein the first intermediate mixture comprises i. a first intermediate product that has an intrinsic viscosity in the range of 0.010 dL/g to 0.090 dL/g, ii. the further organic compound; wherein a mass ratio of the feedstock to the first organic compound in the volume section V 1 is in the range of 0.02 to 3, and the temperature of the first initial mixture in the volume section V 1 is in the range of 60 °C to 90 °C, with the intrinsic viscosity, the mass ratio of the feedstock to the first organic compound in the volume section V 1, and the temperature in the volume section V 1 determined according to the methods described herein. a. providing a feedstock that comprises a first polyester; b. contacting the feedstock with a first amount of a first organic compound in a volume section V 1 to obtain a first initial mixture, wherein the first amount is in the form of a liquid and wherein the intrinsic viscosity of the first polyester in the volume section V 1 varies by less than 15 %; c. transporting the first polyester from the volume section V 1 to a volume section V2; d. contacting the first polyester with a further amount of the first organic compound in the volume section V 2; e. reducing an intrinsic viscosity of the first polyester in the volume section V 2, wherein, after the reductions step has been completed, the first polyester has an intrinsic viscosity in the range of 0.10 dL/g to 0.45 dL/g; f. transporting the first polyester to a volume section V 3; g. contacting the first polyester with a further organic compound in the volume section V 3 to obtain a further initial mixture; h. reducing a weight average molar mass of the first polyester in the volume section V 3 to obtain a first intermediate mixture, wherein the first intermediate mixture comprises i. a first intermediate product that has an intrinsic viscosity in the range of 0.010 dL/g to 0.090 dL/g, ii. the further organic compound; i. a first intermediate product that has an intrinsic viscosity in the range of 0.010 dL/g to 0.090 dL/g, ii. the further organic compound; a mass ratio of the feedstock to the first organic compound in the volume section V 1 is in the range of 0.02 to 3, and the temperature of the first initial mixture in the volume section V 1 is in the range of 60 °C to 90 °C, with the intrinsic viscosity, the mass ratio of the feedstock to the first organic compound in the volume section V 1, and the temperature in the volume section V 1 determined according to the methods described herein.