In the end what you have is a maths issue. If every 4 years we have an extra day lets then dived the timedelta in days, not by 365 but 365*4 + 1, that would give you the amount of 4 years. Then divide it again by 4. timedelta / ((365*4) +1) / 4 = timedelta * 4 / (365*4 +1)