The apparent path of the Sun is an arc starting at sunrise, arcing to its highest point at noon (GMT) and end at the point of sunset.
At autumn equinox (Sept 22nd/23rd in the northern hemisphere, March 21st/22nd in the southern hemisphere) sunrise is (almost exactly) in the east and sunset (almost exactly) in the west.
As autumn and winter progress, the point of sunrise moves south as does the point of sunset. The Sun moves at the same speed across the sky but it rises later, sets earlier and the arc is shorter.
Beyond the Arctic and Antarctic circles the path gets so short that the Sun no longer rises at all.
Within those circles the Sun's path is shortest at the winter solstice (Dec 21st/22nd in the northern hemisphere, June 21st/22nd in the southern hemisphere). After that date the point of sunrise and sunset move north until the sun rises in the east and sets in the west on the spring equinox.
The point of sunrise and sunset then move north and the path gets longer until it is longest at the summer solstice.
Note that the Sun is always in the south at noon GMT and because of the Earth's rotation, the Sun appears to orbit at a rate of once per 24 hours.
Meanwhile a watch's hour hand rotates twice as fast, that is once every 12 hours.
This means that if you have a watch set to GMT and point the hour hand at the Sun, then south is halfway between that hour hand and 12.
That works in summer or winter of course.