Abstract: What is proposed is a continuous process for discharging a solid, salt-containing phase comprising alkali metal acetates and/or alkaline earth metal acetates from the product mixture from the preparation of N,N-dimethylacetamide (DMAC) by reaction of methyl acetate (MeOAc) with dimethylamine (DMA) in the presence of a catalyst comprising N,N-dimethylacetamide (DMAC), methyl acetate (MeOAc), dimethylamine (DMA) and a catalyst, having the following process steps: level-regulated feeding of the product mixture as feed stream into an evaporation vessel of a forced circulation evaporator, flash evaporation of volatile components of the product mixture in the forced circulation evaporator to form a vapor phase comprising N,N-dimethylacetamide (DMAC) and precipitation of a solid, salt-containing phase comprising alkali metal acetates and/or alkaline earth metal acetates, recycling of the volatile components of the product mixture obtained after the flash evaporation, removal of a vapor phase comprising N,N-dimethyl