gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000011010111111100101010111101000011110011111110011100010111011001010100101111110000011111001000010101
a = 0x000000035fcabd0f3f9c5d952fc1f215
a = 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

b = b00000000000000000000000000000001111111011000101111000001110001100111101001010101110101101011110011001001001010000010011111110110
b = 0x00000001fd8bc1c67a55d6bcc92827f6
b = 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

  11010111111100101010111101000011110011111110011100010111011001010100101111110000011111001000010101 | 1111111011000101111000001110001100111101001010101110101101011110011001001001010000010011111110110
- 1111111011000101111000001110001100111101001010101110101101011110011001001001010000010011111110110  | 1
  -------------------------------------------------------------------------------------------------- |
    101001001101110100111110100000111100101100110111111100001110110010111101100100011011110111111001 |
-  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010
cquotient = 0x00000000000000000000000000000002
cquotient = x

cremainder = b00000000000000000000000000000000101001001101110100111110100000111100101100110111111100001110110010111101100100011011110111111001
cremainder = 0x00000000a4dd3e83cb37f0ecbd91bdf9
cremainder = 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