Pull-out locking device for pull-out guides of drawers, at least two pull-out guides, which each have a corpus rail which can be attached to a common furniture corpus and a pull-out rail which can be attached to a respective one of the drawers and which can be pulled out in a pull-out direction over a pull-out distance from a closed position into a pull-out position, latch units associated with a respective one of the pull-out guides, which each have a base body attached to the body rail and a latch part which is movably mounted by the base body and can be adjusted by an actuating part which, when the associated pull-out rail is pulled out, is moved along with the pull-out rail from the closed position over at least part of the pull-out distance, a cable-like element, at least one end of which is held displaceable to a limited extent, wherein the displaceability of the one end or of both ends together forms a deflection reserve of the cable-like element, which assumes an initial value in a basic state of the pull-out locking device, in which all pull-out rails are in the closed position, and wherein the cable-like element can be deflected by the latch part with a reduction in the deflection reserve in the region of the latch part when a respective one of the latch parts is displaced from the passive position, characterized in that starting from the basic state of the pull-out locking device, when one of the pull-out rails is pulled out via a first actuating section adjoining its closed position, the associated locking part is displaced by the actuating part from a passive position into a first actuating position and the deflection reserve is reduced by a first partial amount and, when the pull-out rail is pulled out further via an intermediate section adjoining the first actuating section which is at least three times longer than the first actuating section, the associated locking part remains at least substantially in the first actuating position and, when the pull-out rail is further pulled out via a second actuating section adjoining the intermediate section, the associated locking part is displaced by the actuating part into a second actuating position and the deflection reserve is reduced by a second partial amount, and that in the state in which one of the pull-out rails is pulled out via the first actuating section, the intermediate section and the second actuating section and another of the pull-out rails is pulled out via the first actuating section and the remaining pull-out rails are in the closed position, the deflection reserve is at least essentially used up. at least two pull-out guides, which each have a corpus rail which can be attached to a common furniture corpus and a pull-out rail which can be attached to a respective one of the drawers and which can be pulled out in a pull-out direction over a pull-out distance from a closed position into a pull-out position, latch units associated with a respective one of the pull-out guides, which each have a base body attached to the body rail and a latch part which is movably mounted by the base body and can be adjusted by an actuating part which, when the associated pull-out rail is pulled out, is moved along with the pull-out rail from the closed position over at least part of the pull-out distance, a cable-like element, at least one end of which is held displaceable to a limited extent, wherein the displaceability of the one end or of both ends together forms a deflection reserve of the cable-like element, which assumes an initial value in a basic state of the pull-out locking device, in which all pull-out rails are in the closed position, and wherein the cable-like element can be deflected by the latch part with a reduction in the deflection reserve in the region of the latch part when a respective one of the latch parts is displaced from the passive position, characterized in that starting from the basic state of the pull-out locking device, when one of the pull-out rails is pulled out via a first actuating section adjoining its closed position, the associated locking part is displaced by the actuating part from a passive position into a first actuating position and the deflection reserve is reduced by a first partial amount and, when the pull-out rail is pulled out further via an intermediate section adjoining the first actuating section which is at least three times longer than the first actuating section, the associated locking part remains at least substantially in the first actuating position and, when the pull-out rail is further pulled out via a second actuating section adjoining the intermediate section, the associated locking part is displaced by the actuating part into a second actuating position and the deflection reserve is reduced by a second partial amount, and that in the state in which one of the pull-out rails is pulled out via the first actuating section, the intermediate section and the second actuating section and another of the pull-out rails is pulled out via the first actuating section and the remaining pull-out rails are in the closed position, the deflection reserve is at least essentially used up.