Let ‘a’ and ‘b’ be any two positive integers. XXXX XXXXX XXXXX unique integers ‘X’ and ‘r’ XXXX XXXX
a = bq + r, X ≤ r ≤ b.
XX b | a, XXXX r=0. Otherwise, ‘r’ satisfies the stronger inequality 0 ≤ r ≤ b.
XXXX a = -XXXX and b = 7
XX XXXXXXXXXXXX XXXXX in XXXXXXXX XX XXX
-1002 = 7q + r
= X * -144 + 6
As XXX the Euclidean XXXXXXXXX X ≤ r ≤ b so XXXXXX r positive XX XXXX XXXXXX
XXXXXXXX XX X = -XXX XXX r = 6