After fasting, either on day 41, or perhaps some time on day 42, Jesus would have begun traveling west, towards the Jordan, and then on home to Nazareth. He also must've begun eating regularly if he was hoping to make more than one or two miles a day. Fasting can be very healthy, but it doesn't give someone the calories to walk for six days.
It was therefore some time after Satan's temptation about stones that Jesus engaged with the devil again, in the story we know. Reappearing at some point, because he probably hadn't been visibly hovering for so much down-time, the devil now made it clear that he wanted Jesus to follow him. So he called out, or he motioned, and then Jesus began walking after his adversary. Whether Satan stayed visible or appeared at each turn in the road, the enemy made it clear that he wanted Jesus to walk to Jerusalem.
Whatever the meta-mechanics, Satan led Jesus up to Jerusalem. This may have gone on for several hours at least, if not more than a day. (For comparison, Jericho near the Jordan was one full day's walk from Jerusalem, but Jesus would more likely have been further north to begin with, and perhaps further east.)
After reaching Jerusalem, Jesus made his way up to the tops of the colonnades, to the 'parapets' which surrounded Jerusalem's Temple courtyard. Looking down from this 'pinnacle' of Mount Zion, far down to the ground level below (the Tyropoean valley, if to the east, or the Kidron valley, if to the west), nearly anyone would have experienced a brief dizzying moment. Either fall would have meant instant death for a man.
At this opportunity, the devil challenged the Lord once again. If you are really the Son of God, throw yourself down, for it is written that he will give his angels orders about you, to protect you, and you won't even stub your foot on a rock. This time, instead of suggesting a direct use of divine power, Satan insinuated that God and his angels could prove Jesus' identity for him.
Once again, Jesus calmly recited a scripture he'd learned long ago, again from Deuteronomy. This time, Jesus let a bit more of his own mysterious identity peek through. It is written, you must not tempt the Lord your God.
Once again, Satan probably left Jesus for a while, at this point. Not long thereafter, Jesus would naturally have climbed down from Jerusalem's balcony, made his way down from the Temple, and begun walking north, back to Nazareth.
He was still recovering from a forty day fast, walking as much as twenty miles a day. He must have been exhausted, and he must have passed moments of wondering if the adversary would show up again.
As it turned out, Jesus would see the devil at least once more - that we know of - during this journey.
To be continued...