The remaining parameter specifies that, for the command you are running (start, stop, resume, and so on), the command runs successfully for all listeners that are in a state that allow the change (for example, from start to stop). For example, if you attempt to start listeners on engines one through six, but engines one, four, and five are unavailable, sp_listener...remaining starts listeners on engines two, three, and six, disregarding the offline engines.
Without the remaining parameter, an sp_listener command fails if the entire command cannot succeed for all listeners. If you do not include the remaining parameter in the example above, the command fails even though it could have started listeners on engines two, three, and six.