gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b0000000000111111001110001110010111001111111111010111010011100001
a = 0x003f38e5cffd74e1
a = x53 + x52 + x51 + x50 + x49 + x48 + x45 + x44 + x43 + x39 + x38 + x37 + x34 + x32 + x31 + x30 + x27 + x26 + x25 + x24 + x23 + x22 + x21 + x20 + x19 + x18 + x16 + x14 + x13 + x12 + x10 + x7 + x6 + x5 + 1

b = b0000000000010111111011010011000110001100001111111110011000010111
b = 0x0017ed318c3fe617
b = x52 + x50 + x49 + x48 + x47 + x46 + x45 + x43 + x42 + x40 + x37 + x36 + x32 + x31 + x27 + x26 + x21 + x20 + x19 + x18 + x17 + x16 + x15 + x14 + x13 + x10 + x9 + x4 + x2 + x + 1

  111111001110001110010111001111111111010111010011100001 | 10111111011010011000110001100001111111110011000010111
- 10111111011010011000110001100001111111110011000010111  | 1
  ------------------------------------------------------ |
   10000111000101000011011010111100000101011100011001111 |
-  10111111011010011000110001100001111111110011000010111 | 1
  ------------------------------------------------------ |
     111000011111011011101011011101111010101111011011000 |

cquotient = b0000000000000000000000000000000000000000000000000000000000000011
cquotient = 0x0000000000000003
cquotient = x + 1

cremainder = b0000000000000111000011111011011101011011101111010101111011011000
cremainder = 0x00070fb75bbd5ed8
cremainder = x50 + x49 + x48 + x43 + x42 + x41 + x40 + x39 + x37 + x36 + x34 + x33 + x32 + x30 + x28 + x27 + x25 + x24 + x23 + x21 + x20 + x19 + x18 + x16 + x14 + x12 + x11 + x10 + x9 + x7 + x6 + x4 + x3