Also, my take on the probable chronology, since that was skirted round/over rather:
- Time War happens, spreads across space & time; the Time Lords with TARDISes command one side and increasingly have an iron grip over their allies, the Daleks & slaves on the other.
- The Last Days essentially begin once the Dalek and Time Lord time technologies cancel one another out; all of the TARDIS fleet is either destroyed or preventing further Dalek reinforcements arriving temporally/attacking Gallifrey at a less developed point, channelling the Daleks towards a Gallifrey that has had the maximum possible time to prepare (with the Daleks having done the reverse, trying to attack Gallifrey as early as possible)
- Daleks shoot stuff up
- Events of The End of Time happen, final sanction fails. Rassilon killed/knocked down by Master, unknown occurrences in high council
- War room general as seen in this episode takes temporary command; the high council may well still be in utter turmoil but someone has to command the troops
- Amid the confusion after the rapid teleportation/return of Gallifrey, Arcadia's sky trenches fall to the Daleks
- The War Doctor shoots his message into the wall, start of Day of the Doctor
- Episode happens up until eleven comes up with the plan (that was unwittingly given to him by the Zygons)
- Eleven writes the relevant calculation subroutine
- Moment inserts calculation subroutine into computer of the first doctor's TARDIS
- On last day of Time War, Moment time-holes all the other TARDISes (or at least the first thirteen)
- The Doctors copy the subroutine (which may even have only finished calculating by mid-13, which would explain only using the first 13) back onto all 13 TARDISes, at which point
- the power of the TARDISes powers "the plan"
- The Dalek battle fleets blow themselves to pieces, excepting the Imperial Ship (which is later destroyed by Rose) and probably excepting large numbers of Dalek ground forces across the Empire, who without a command structure are defeated within a generation or so (this conveniently explains why they keep popping up).
- Ta-da.