gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000011101000110001001011001101101001000100011001010111000011100011101001101010101001101011110111010001101
a = 0x0000001d18966d2232b871d35535ee8d
a = x100 + x99 + x98 + x96 + x92 + x91 + x87 + x84 + x82 + x81 + x78 + x77 + x75 + x74 + x72 + x69 + x65 + x61 + x60 + x57 + x55 + x53 + x52 + x51 + x46 + x45 + x44 + x40 + x39 + x38 + x36 + x33 + x32 + x30 + x28 + x26 + x24 + x21 + x20 + x18 + x16 + x15 + x14 + x13 + x11 + x10 + x9 + x7 + x3 + x2 + 1

b = b00000000000000000000000000001010001111010011010001001111111001001111101100011100000110111100001000101001101011000000101110001000
b = 0x0000000a3d344fe4fb1c1bc229ac0b88
b = x99 + x97 + x93 + x92 + x91 + x90 + x88 + x85 + x84 + x82 + x78 + x75 + x74 + x73 + x72 + x71 + x70 + x69 + x66 + x63 + x62 + x61 + x60 + x59 + x57 + x56 + x52 + x51 + x50 + x44 + x43 + x41 + x40 + x39 + x38 + x33 + x29 + x27 + x24 + x23 + x21 + x19 + x18 + x11 + x9 + x8 + x7 + x3

  11101000110001001011001101101001000100011001010111000011100011101001101010101001101011110111010001101 | 1010001111010011010001001111111001001111101100011100000110111100001000101001101011000000101110001000
- 1010001111010011010001001111111001001111101100011100000110111100001000101001101011000000101110001000  | 1
  ----------------------------------------------------------------------------------------------------- |
   1001011000101111111011110010111010111100010010000000010001100101011100000110011011011111100110011101 |
-  1010001111010011010001001111111001001111101100011100000110111100001000101001101011000000101110001000 | 1
  ----------------------------------------------------------------------------------------------------- |
     11010111111100101010111101000011110011111110011100010111011001010100101111110000011111001000010101 |

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011
cquotient = 0x00000000000000000000000000000003
cquotient = x + 1

cremainder = b00000000000000000000000000000011010111111100101010111101000011110011111110011100010111011001010100101111110000011111001000010101
cremainder = 0x000000035fcabd0f3f9c5d952fc1f215
cremainder = x97 + x96 + x94 + x92 + x91 + x90 + x89 + x88 + x87 + x86 + x83 + x81 + x79 + x77 + x76 + x75 + x74 + x72 + x67 + x66 + x65 + x64 + x61 + x60 + x59 + x58 + x57 + x56 + x55 + x52 + x51 + x50 + x46 + x44 + x43 + x42 + x40 + x39 + x36 + x34 + x32 + x29 + x27 + x26 + x25 + x24 + x23 + x22 + x16 + x15 + x14 + x13 + x12 + x9 + x4 + x2 + 1