A division was a management unit, under a superintendent, consisting of two or more subdivisions. A subdivision was basically the length of line an engine and train crew was expected to cover in one day’s work. Nominally that was about 100 miles, but by the 50s and 60s could be longer. In some cases passenger crews, who travelled faster, might workover two subdivisions or districts.
Some railroads, like my favorite, the Santa Fe, used the term “district” instead of subdivision, but in organizational terms they were the same thing.
(As “division point” is often used in model railroad terms, it might be a terminal at the meeting of two subdivisions or districts just as often as between two adjoining divisions.)
There were many ways of designating branch lines, but the most common was to make each branch line its own subdivision or district. In that case, a crew might start on on a mainline subdivision and complete their run on a branchline subdivision. After a layover, they might start out the next day on the branchline sub. Or they might work a turn, starting on a mainline sub, running out and back on a branchline sub, and returning to their home terminal on the mainline sub. Almost any permutationof these patterns was possible.
On the Santa Fe, mainline districts were generally numbered, first, second, and so on, while branchline districts were named for a station on the district, often but not necessarily the district terminal. And there were places where a named district was a mainline route. Other roads might number or name subdivisions. Some large terminals were designated as subdivisions or districts, and again in that case a crew might start out on one subdivision and complete its run on another.
In a timetable and train order regime, a train must receive a clearance card at its initial station on any subdivision or district that it enters. In the 50s and 60s, that was also generally true for lines operated by signal indication under Centralized Traffic Control.<