A separating device that is connectable to a vacuuming device for separating dirt particles from an air stream drawn in by the vacuuming device, containing at least one separator. The at least one separator contains an inlet opening for the air stream and a first and second outlet opening, wherein the first outlet opening serves for the exit of drawn-in dirt particles from the separator and the second outlet opening serves for the exit of the drawn-in air stream and of the drawn-in dirt particles from the separator, and wherein a first and second collection vessel for collecting the dirt particles separated from the separator is contained, and wherein the first collection vessel is positioned in a direction beneath the first outlet opening and the second collection vessel is positioned in a direction beneath the second outlet opening.