True, there were a lot of troops still overseas following the end of the war in Japan, 15 Aug 45. However, many had been rotated back to the states out of Europe after Germany fell, 7 May 45.
These were shiped back for the purpose of R&R at home, then were programmed for further training, which was to lead up to the planned invasion of Japan, probably set for Oct-45.
Many troops had completed their R&R and additonal training, and were actually enroute to the Pacific when that fateful day fell. They were then re-routed back home.
There were some of us who remained in Europe a while longer, probably because of the logistics of getting so many back to our home ports.
For me, I was fortunate enough to have been picked up by the newly created University Training Staff, which featured US based teaching staff, assigned to various foreign colleges throughout Europe, for the purpose of giving us a chance to catch up on some direly needed education. I have no figures available, but I am sure that it would run into the thousands.
I ended up with a three month stint at the University of Florence (Italy), where I was enrolled in two courses, Basic Italian and Commercial Law. Two hours of lectures and 22 hours free time. Then down to Casserta Allied Force Headquarters for a brief period, and finally sailed out of Naples for the trip back home, arriving 11 Mar 46.
I ended in the GI Bill program to complete my education..
Sorry to go off on a tangent, but sometimes I don't know when to shut it down.