Indictions

I’m trying to figure the concept of indictions, which I came upon re-reading Harry Turtledove.

According to Wikipedia:

“Possible indiction values are 1 to 15. The indiction for an historical Anno Domini year between January 1 and December 31 following September 1, 23, or 24 can be calculated by taking the remainder of the year plus 2 divided by 15 and adding 1 to it. For example: the indiction for the year 1999 is 7 [(1999 + 2) mod 15 + 1 = 7]. So 2008 is the first year of the indiction. (2008+2) mod 15 +1 = 16 or 1”

Ok, so 2008+2=2010, then divide 2010/15= 134. Somehow I don’t think that equal 16 if I add one to it as it does above. Can someone help me here?

You need to take the remainder of division by 15, not the quotient. 2010 % 15 = 0 (not 134), and 0 + 1 = 1.

2008+2=2010
2010 Mod 15 = 0
0 + 1 = 1