gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000100000000
a = 0x00000100
a = x8

b = b00000000000000000000000011000001
b = 0x000000c1
b = x7 + x6 + 1

  100000000 | 11000001
- 11000001  | 1
  --------- |
   10000010 |
-  11000001 | 1
  --------- |
    1000011 |

cquotient = b00000000000000000000000000000011
cquotient = 0x00000003
cquotient = x + 1

cremainder = b00000000000000000000000001000011
cremainder = 0x00000043
cremainder = x6 + x + 1