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Because a year has 365 days (or 366 in a leap year) and a week has 7 days. 7 does not divide into 365 or 366.

The remainder of 1 in a non-leap year means that your birthday will be one day of the week later if there has not been a leap day since your previous b-day. A remainder of 2 in a leap year means that your birthday will be two days of the week later if there has been a leap day since your previous b-day.

The reason for using leap days instead of leap years in the last paragraph is that birthdays that fall before the leap day (1 January-28 February) are affected by leap years in the PREVIOUS year.

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Q: Why does your b-day fall on a different day of the week every day?
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