Multiples
All Fibonacci numbers find multiples at a regular interval :
         2 finds a multiple at every 3 numbers (2 3 5 8 13 21 34 55 89 144 ...)
         3 finds a multiple at every 4 numbers (3 5 8 13 21 34 55 89 144 ...)
         5 finds a multiple at every 5 numbers (5 8 13 21 34 55 89 144 233 377 610 ...)
         8 finds a multiple at every 6 numbers (8 13 21 34 55 89 144 ...)
         13 finds a multiple at every 7 numbers (13 21 34 55 89 144 233 377 ...) etc ...

Modulos
Between a Fibonacci number and its first multiple,
         it is interesting to establish the Modulo (M) of each intervening Fibonacci number
                   to the base (B) of the original number.
Note all the Fibonacci series in the columns.