A method for remediating and reconditioning of demolition material containing mineral and asbestos-containing components, the method comprising the following steps: - crushing the demolition material to break up the mineral and asbestos-containing components; - dry or wet classifying the crushed demolition material to separate said crushed demolition material into at least a fine fraction and a medium fraction, characterized in that the method includes the additional step: - wet sorting the medium fraction to separate said medium fraction into a heavy fraction, a light fraction and asbestos-containing sludge, wherein, in the step of wet sorting, the medium fraction is fed into a flowing liquid to separate mineral and asbestos-containing components of the medium fraction according to density and thereby to obtain the heavy fraction, the light fraction and the asbestos-containing sludge, and wherein either the heavy fraction is asbestos-free mineral and the light fraction contains asbestos if the density of the mineral components of the medium fraction is higher than the density of the asbestos-containing components of the medium fraction, or the heavy fraction contains asbestos and the light fraction is asbestos-free mineral if the density of the asbestos-containing components of the medium fraction is higher than the density of the mineral components of the medium fraction. - crushing the demolition material to break up the mineral and asbestos-containing components; - dry or wet classifying the crushed demolition material to separate said crushed demolition material into at least a fine fraction and a medium fraction, - wet sorting the medium fraction to separate said medium fraction into a heavy fraction, a light fraction and asbestos-containing sludge, wherein, in the step of wet sorting, the medium fraction is fed into a flowing liquid to separate mineral and asbestos-containing components of the medium fraction according to density and thereby to obtain the heavy fraction, the light fraction and the asbestos-containing sludge, and wherein either the heavy fraction is asbestos-free mineral and the light fraction contains asbestos if the density of the mineral components of the medium fraction is higher than the density of the asbestos-containing components of the medium fraction, or the heavy fraction contains asbestos and the light fraction is asbestos-free mineral if the density of the asbestos-containing components of the medium fraction is higher than the density of the mineral components of the medium fraction. wherein, in the step of wet sorting, the medium fraction is fed into a flowing liquid to separate mineral and asbestos-containing components of the medium fraction according to density and thereby to obtain the heavy fraction, the light fraction and the asbestos-containing sludge, and wherein either the heavy fraction is asbestos-free mineral and the light fraction contains asbestos if the density of the mineral components of the medium fraction is higher than the density of the asbestos-containing components of the medium fraction, or the heavy fraction contains asbestos and the light fraction is asbestos-free mineral if the density of the asbestos-containing components of the medium fraction is higher than the density of the mineral components of the medium fraction.