A separation method making it possible, from a mixture containing fibers and granules, to separate said fibers from said granules, said method comprising for this purpose a supply step, during which the mixture is brought into a receptacle provided with a screen, a dissociation step which involves carrying out, simultaneously, an agitation sub-step in which mechanical mixing of the mixture contained in the receptacle is performed and a neutralization sub-step in which the mixture being mixed in the receptacle is exposed to bipolar charges in order to neutralize electrostatic charges of the fibers and the granules, followed by a screening step during which the mixture treated in accordance with the dissociation step is passed over the screen in order to retain in the receptacle a first product resulting from the mixture, this first product having a fiber content greater than that of the mixture, while a second product resulting from the mixture is discharged through the screen, the granule content of this second product being greater than that of the mixture.