Mathematical functions etc. are subroutines existing on small rolls of paper tape. Pick the ones you need from the library, which is a physical place with rolls of paper tape, one for each subroutine
Copy the subroutine tapes into your program tape at the appropriate spots
Make another tape and compare with the first one, just to catch typing errors
Hang the finished program(me) in the job queue! Now that’s a proper job queue!
When your job reaches the first spot in the queue, pick the tape and insert it into the reader
Execute!
The output is printed on a sheet of paper, dropped into the output box
Enjoyed the film! I got to see Maurice Wilkes in person when he visited the University of Washington, must have been sometime in the seventies when I was in graduate school in computer science. He was just as engaging then as in the film. Thanks for sharing that.