gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b0000000000000000000000000000000000000000010000000000000000000000
a = 0x0000000000400000
a = x22

b = b0000000000000000000000000000000000000000001001111000101010011001
b = 0x0000000000278a99
b = x21 + x18 + x17 + x16 + x15 + x11 + x9 + x7 + x4 + x3 + 1

  10000000000000000000000 | 1001111000101010011001
- 1001111000101010011001  | 1
  ----------------------- |
     11110001010100110010 |
-  0000000000000000000000 | 0

cquotient = b0000000000000000000000000000000000000000000000000000000000000010
cquotient = 0x0000000000000002
cquotient = x

cremainder = b0000000000000000000000000000000000000000000011110001010100110010
cremainder = 0x00000000000f1532
cremainder = x19 + x18 + x17 + x16 + x12 + x10 + x8 + x5 + x4 + x