gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b0000000000000000000000000000000000000000000001000000000000000000
a = 0x0000000000040000
a = x18

b = b0000000000000000000000000000000000000000000001101010101111101101
b = 0x000000000006abed
b = x18 + x17 + x15 + x13 + x11 + x9 + x8 + x7 + x6 + x5 + x3 + x2 + 1

  1000000000000000000 | 1101010101111101101
- 1101010101111101101 | 1
  ------------------- |
   101010101111101101 |

cquotient = b0000000000000000000000000000000000000000000000000000000000000001
cquotient = 0x0000000000000001
cquotient = 1

cremainder = b0000000000000000000000000000000000000000000000101010101111101101
cremainder = 0x000000000002abed
cremainder = x17 + x15 + x13 + x11 + x9 + x8 + x7 + x6 + x5 + x3 + x2 + 1