Sextants are a requirement to be carried on any ocean going ship. The requirement is part of SOLAS, though cannot remember when this SOLAS requirement came in, possibly 78, so it would be around that time that shipping companies were forced to put sextants on board in order to comply with the regulations.
Even today a cadet studying for his OOW ticket will have to show that he can
Find and correct any errors on a sextant
calculate latitude by meridian passage
Use the Pole star to find latitude
Calculate ships position using celestial navigation
Calculate the vertex of a great circle.
Calculate the initial and final courses on a great circle sailing
Calculate course and distances using great circle and rhumb line sailings
With the advent of heightened security etc. I doubt that there are many mariners today carrying their own sextants, imagine trying to explain to the plonkers on security duty at airports what the sextant was for "celestial navigation, that some kinda disease?"
I had a Plath sextant, top of the line, that stood me in good stead for many years despite being bashed around by air travel. On a BA flight once it got the attention of the pilot and I was invited into the cockpit where we had quite a discussion on celestial navigation and astro-navigation as this guy was old enough to have known the basics of astro-nav.
The other thing that any self-respecting 2nd Mate carried around with him was his courses and distances book. Every voyages courses and distances that I calculated as 2nd Mate went into my exercise book A$ sized) which by the time I got promoted to Chief Officer was completely full. I always carried it with me, even as Master as every waypoint in every voyage I ever did was listed either by bearing and distance off a landmark or in the case of an ocean passage on a great circle sailing, the lat. and long. of every course alteration at around every 5 degrees of longitude.
It is still in my possession somewhere but for the love of me I cannot find it, more the pity as I could use it to plot my way around the world with the dates that I did those voyages.
Also
Despite GPS etc. it is still a requirement to carry a chronometer and daily record its error.
rgds
JA