Final answer:
Sharov's coachmen gained his master's favor through essential traits for his role, including driving skills, loyalty, and punctuality.
Step-by-step explanation:
Sharov's coachmen was popular with his master due to a combination of attributes, which likely included his driving skills, loyalty, and punctuality. Such traits would be essential for someone who is responsible for the care and operation of fine horses and carriages, resembling those described in luxurious equipage.
Given the context, a coachman may earn his master's favor through expert handling of horses, demonstrating loyalty in service, and consistently being on time, all of which enhance the master's social standing and satisfaction with his transportation.