gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000001111111011000101111000001110001100111101001010101110101101011110011001001001010000010011111110110
a = 0x00000001fd8bc1c67a55d6bcc92827f6
a = x96 + x95 + x94 + x93 + x92 + x91 + x90 + x88 + x87 + x83 + x81 + x80 + x79 + x78 + x72 + x71 + x70 + x66 + x65 + x62 + x61 + x60 + x59 + x57 + x54 + x52 + x50 + x48 + x47 + x46 + x44 + x42 + x41 + x39 + x37 + x36 + x35 + x34 + x31 + x30 + x27 + x24 + x21 + x19 + x13 + x10 + x9 + x8 + x7 + x6 + x5 + x4 + x2 + x

b = b00000000000000000000000000000000101001001101110100111110100000111100101100110111111100001110110010111101100100011011110111111001
b = 0x00000000a4dd3e83cb37f0ecbd91bdf9
b = x95 + x93 + x90 + x87 + x86 + x84 + x83 + x82 + x80 + x77 + x76 + x75 + x74 + x73 + x71 + x65 + x64 + x63 + x62 + x59 + x57 + x56 + x53 + x52 + x50 + x49 + x48 + x47 + x46 + x45 + x44 + x39 + x38 + x37 + x35 + x34 + x31 + x29 + x28 + x27 + x26 + x24 + x23 + x20 + x16 + x15 + x13 + x12 + x11 + x10 + x8 + x7 + x6 + x5 + x4 + x3 + 1

  1111111011000101111000001110001100111101001010101110101101011110011001001001010000010011111110110 | 101001001101110100111110100000111100101100110111111100001110110010111101100100011011110111111001
- 101001001101110100111110100000111100101100110111111100001110110010111101100100011011110111111001  | 1
  ------------------------------------------------------------------------------------------------- |
   101101000011000110111100110000011110110000111010001101110110010110110010000010110101110000000100 |
-  101001001101110100111110100000111100101100110111111100001110110010111101100100011011110111111001 | 1
  ------------------------------------------------------------------------------------------------- |
      100001110110010000010010000100010011100001101110001111000100100001111100110101110000111111101 |

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

cremainder = b00000000000000000000000000000000000100001110110010000010010000100010011100001101110001111000100100001111100110101110000111111101
cremainder = 0x0000000010ec8242270dc7890f9ae1fd
cremainder = x92 + x87 + x86 + x85 + x83 + x82 + x79 + x73 + x70 + x65 + x61 + x58 + x57 + x56 + x51 + x50 + x48 + x47 + x46 + x42 + x41 + x40 + x39 + x35 + x32 + x27 + x26 + x25 + x24 + x23 + x20 + x19 + x17 + x15 + x14 + x13 + x8 + x7 + x6 + x5 + x4 + x3 + x2 + 1