The 5 franc coin is a 5 francs of France, that at that time was a consulate. L'an 10 actually is 10 years after the end of the French revolution and the declaration of the republic in 1792. Therefore this coin needs to be dated 1801-1802 to be correct.
The K actually is a letter indicating the mint that produced this coin, being Bordeaux (also famous for its excellent wines nowadays). 60413 pieces of this coin were minted.
Referencing to the 2 major French coin catalogues, it is n° 563a in Gadoury and n° F300/3 or F300/4 in "Le Franc VIII" .
2 different varieties exist according to "Le Franc"; a date with point (being the normal strike) and a date without point behind it (being a rare variety)
Prices (in EUR, for USD multiply by approximately 1.25) :
Quality - Gadoury - Le Franc (F300/3) - Le Franc (F300/4)
MS58 - 1100 - 750 - unquoted
VF45 - 350 - 280 - 700
F25 - 150 - 80 - 350
G10 - 60 - 30 - 120