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Originally posted by: MystikMango
That 0.242199 day is the reason we have Leap Years.

one extra day every year that is divisible by either 4, or 4 and 100. except in AD 4000. explanation

Ours is a solar calendar in which a year is the time required for the
earth to complete its annual orbit around the sun. A day is the time
required -- 24 hours -- for the earth to make one complete revolution
on its axis. The necessity for leap years stem from the fact that there
are almost 365-1/4 days in a year. Consequently the common years
have 365 days but every fourth one which is exactly divisible by 4,
such as 1964, is a leap year with 366 days including 29 in February
instead of 28.
Actually, however, there are 365. 2422 days in a solar year -- 365
days, 5 hours, 48 minutes and 46 seconds. That is only 11 minutes and
14 seconds less than 365-1/4 (365. 25) days but in 125 years the
accumulated excess in the leap years amounts to a trifle more than one
day.
Therefore, in centesimal years not exactly divisible by 400 -- such as
1900, 1800 and 1700 -- there is no leap year. There was one in 1600
and there will be one in the year 2000. Because that slight excess in
leap years amounts to a trifle more than one day every 125 years, in
AD 4000 there will be no leap year. We thought you might be
interested.