Usually there was a command room inside the ship which had one or more fire control computers (FCC).
These computers had inputs with range and bearing information from rangefinders and fire directors and in some cases radarstations.
The speed of the target ship, heading and sometimes other factors like windspeed had to be entered manually.
The computer usually also took in information about the ships own speed, heading and maybe list.
All this information got processed by the computer and outputted aiming data for the guns.
The computer also calculated and corrected the parralax of the guns.
It was probably different from country to country and over the years,
but as far as I know during wwii there was trainers in the guns who aimed and elevated the guns based on the info from the computers.
Some german battleships had electric drive for the elevation.
Hope it helps!
edit: I see Aktungbby updated with excellent info above!
edit2:
Quote:
Originally Posted by LoneWolf_gabo
...did the fire director transmit via radio the range and direction to shoot?
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This was done with dials.