Meaning of Remote back is having backup taken at some remote location (off-site). It provides you mitigation against Disaster at local datacenter due to fire or any other reason. There are many ways to have remote backup.
1 Having backup system at remote location and taking backup over WAN connection ( need bigger WAN/internet connections to handle traffic).
2 Having de-duplication devices on-site and off-site and taking backup using de-duplication devices. these are not very bandwidth intensive.
3 can have backup at remote site on tapes and have schedule of tape movement from on-site to off-site in regular basis.
Doing something "remotely" means that you are doing something from another location. Having a "remote" back-up system only means that you can back-up without having to be right there. Sometimes you can actuall just create settings that will do the back-up by itself.