Final answer:
The foodhandler should wash the mop thoroughly, inform their supervisor about the incident, and wash their hands properly to maintain hygiene and prevent contamination.
Step-by-step explanation:
After a foodhandler drops several eggs on the floor and cleans the mess with a mop, the next step they should take is to wash the mop thoroughly before using it again to prevent cross-contamination. Additionally, they should inform their supervisor about the incident, and ensure that their hands are washed with soap and water to maintain proper hygiene. It's critically important to maintain cleanliness and prevent the spread of potential foodborne pathogens.