My favourite dead reckoning anecdote[1] was there was this British naval captain who found himself in the Atlantic just a bit south-west of the Canary Islands in a lifeboat. He knew that the ocean currents would be against him and too strong to row against, so he set off for South America and made it there by rowing with the current and using dead reckoning to course correct.

[1] And this is from memory and a bunch of googling around hasn’t turned it up so pardon me if I get some details wrong.