Once you have acted upon your first clue, you will need to work out your next move using binary addition with the following:
322 536 913 296
446 624 353 505
Please note that there can be no checker for this puzzle, as the solutions are multiple. But if you use the standard brief initially (N 53° 1?.??? & W 001° 4?.???) you then need to make a call; do your plotted coordinates fit with the hint, or not? The sum of all the digits in the final coordinates is 41.
Be careful not to get a wrong number...
Many thanks to Jack (34) & Walter (44) for providing the inspiration for this puzzle.
Congratulations to PlasmaWave, DrunkNinjaHippo, NottsWalker & KaosCL for Joint FTF!