I learned FORTRAN on one in a college math class around 1965. During off hours, one could wait in line and load the deck of cards. I think you could actally start the job yourself under the watchful eye of a 'computer protector'. As I recall the output had to be a card deck so one would have to wait in another line to get a printout of the deck from the line printer. I forget exactly what happened if there was an syntax error in the code. Maybe alarms and red lights came on, and the deck was spit out on the floor and everyone laughed at you.
If you didn't have a disk drive, compilation of FORTRAN was awkward with cards. You read the first pass of the compiler in, then your source program, then the second pass and an object was punched. You then loaded the runtime, your program and the library deck and your program ran.
GOTRAN (quick compile-and-go) was very popular on the 1620. Saved time, paper and cards, at the expense of a simpler language and lower size limits.
If you had a 1311, life could be sweet, if not leisurely--I believe that the 1311 positioner was pneumatic--at least you could hear a hiss when the heads moved.
The odd thing about the disk Monitor was that there was no file system per se. You loaded the disk drive and things were placed in pretty much fixed positions. The first 24 or so cylinders (out of 100) were deemed "work cylinders" and that's where compilers left their output. But no files. At one time I found this so frustrating that I wrote a small file manager to stuff files in the upper cylinders of the work area, along with a directory. If I was lucky, when I came back the next day, the data would still be there. Saved a lot of time.
Dwight, the addition tables are very simple Take a digit of each of the addends; use one in the 10's address position and the other in the unit's position, with 300 being in the hundred's place. The digit at that location gives you the sum, with a flag signifying a carry. Things get a little more complicated if you have a carry from the previous position--the 1620 has a hardware incrementer to take care of carry-in conditions. Subtraction uses a hardware 10's complementer. If you tinkered (intentionally) with the addition tables, you could do arithmetic in any base 10, or lower.
I know it all seems very Victrola-and-Dynaflow school today, but it was very cool back then.