1. A method for receiving a multimedia streaming service, comprising: receiving, by a client from a server, a media presentation description (MPD) including segment information; transmitting, by the client to the server, a partial request message requesting a part of media data associated with a byte range specified by the MPD; receiving, by the client from the server, at least one segment containing the part of the media data in response to the partial request message, wherein each of the at least one segment includes segment index information including information indicating a corresponding byte range occupied by each of at least one fragment included in one of the at least one segment, and fragment index information for accessing different levels of a plurality of subfragments included in the at least one fragment, and wherein the fragment index information includes information about a total size of the plurality of the subfragments; and accessing, by the client, at least one subfragment from the plurality of subfragments of a level using the fragment index information, and decoding the at least one subfragment for playback.