gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000000011010110011110001000110111101110001100011111101000100100011111100101000010111001000001
a = 0x0000000000359e237b8c7e891f942e41
a = x85 + x84 + x82 + x80 + x79 + x76 + x75 + x74 + x73 + x69 + x65 + x64 + x62 + x61 + x60 + x59 + x57 + x56 + x55 + x51 + x50 + x46 + x45 + x44 + x43 + x42 + x41 + x39 + x35 + x32 + x28 + x27 + x26 + x25 + x24 + x23 + x20 + x18 + x13 + x11 + x10 + x9 + x6 + 1

b = b00000000000000000000000000000000000000000000101011111000110011011101110000001100101101101100000001101100100100001110001110111110
b = 0x00000000000af8cddc0cb6c06c90e3be
b = x83 + x81 + x79 + x78 + x77 + x76 + x75 + x71 + x70 + x67 + x66 + x64 + x63 + x62 + x60 + x59 + x58 + x51 + x50 + x47 + x45 + x44 + x42 + x41 + x39 + x38 + x30 + x29 + x27 + x26 + x23 + x20 + x15 + x14 + x13 + x9 + x8 + x7 + x5 + x4 + x3 + x2 + x

  11010110011110001000110111101110001100011111101000100100011111100101000010111001000001 | 101011111000110011011101110000001100101101101100000001101100100100001110001110111110
- 101011111000110011011101110000001100101101101100000001101100100100001110001110111110   | 1
  -------------------------------------------------------------------------------------- |
   1111001111101000101000000101110111110101001011000100010101101110101111010000010111001 |
-  101011111000110011011101110000001100101101101100000001101100100100001110001110111110  | 1
  -------------------------------------------------------------------------------------- |
    101110001100100011111011001110100111110010000000100001110100111101100110011111000101 |
-   101011111000110011011101110000001100101101101100000001101100100100001110001110111110 | 1
  -------------------------------------------------------------------------------------- |
       101110100010000100110111110101011011111101100100000011000011001101000010001111011 |

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111
cquotient = 0x00000000000000000000000000000007
cquotient = x2 + x + 1

cremainder = b00000000000000000000000000000000000000000000000101110100010000100110111110101011011111101100100000011000011001101000010001111011
cremainder = 0x00000000000174426fab7ec81866847b
cremainder = x80 + x78 + x77 + x76 + x74 + x70 + x65 + x62 + x61 + x59 + x58 + x57 + x56 + x55 + x53 + x51 + x49 + x48 + x46 + x45 + x44 + x43 + x42 + x41 + x39 + x38 + x35 + x28 + x27 + x22 + x21 + x18 + x17 + x15 + x10 + x6 + x5 + x4 + x3 + x + 1