gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 0x0000000000000000000000000000000100000000000000000000000000000000
a = x128

b = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001
b = 0x0000000000000000000000000000000065ee6bda0b324559661859ebf3268b49
b = x126 + x125 + x122 + x120 + x119 + x118 + x117 + x115 + x114 + x113 + x110 + x109 + x107 + x105 + x104 + x103 + x102 + x100 + x99 + x97 + x91 + x89 + x88 + x85 + x84 + x81 + x78 + x74 + x72 + x70 + x68 + x67 + x64 + x62 + x61 + x58 + x57 + x52 + x51 + x46 + x44 + x43 + x40 + x39 + x38 + x37 + x35 + x33 + x32 + x31 + x30 + x29 + x28 + x25 + x24 + x21 + x18 + x17 + x15 + x11 + x9 + x8 + x6 + x3 + 1

  100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001
- 1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001   | 1
  --------------------------------------------------------------------------------------------------------------------------------- |
   10010111101110011010111101101000001011001100100100010101011001011001100001100001011001111010111111001100100110100010110100100100 |
-  1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001  | 1
  --------------------------------------------------------------------------------------------------------------------------------- |
    1011100011001010111100011011100001110101010110110011111110101110101010001010001110101000111100000101010110101110011101110110110 |
-   1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001 | 1
  --------------------------------------------------------------------------------------------------------------------------------- |
     111001100010110001001100000110001100011001111111011010100011100011001001001001100011011001001111011001111100011011000011111111 |

cquotient = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111
cquotient = 0x0000000000000000000000000000000000000000000000000000000000000007
cquotient = x2 + x + 1

cremainder = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111001100010110001001100000110001100011001111111011010100011100011001001001001100011011001001111011001111100011011000011111111
cremainder = 0x00000000000000000000000000000000398b1306319fda8e32498d93d9f1b0ff
cremainder = x125 + x124 + x123 + x120 + x119 + x115 + x113 + x112 + x108 + x105 + x104 + x98 + x97 + x93 + x92 + x88 + x87 + x84 + x83 + x82 + x81 + x80 + x79 + x78 + x76 + x75 + x73 + x71 + x67 + x66 + x65 + x61 + x60 + x57 + x54 + x51 + x48 + x47 + x43 + x42 + x40 + x39 + x36 + x33 + x32 + x31 + x30 + x28 + x27 + x24 + x23 + x22 + x21 + x20 + x16 + x15 + x13 + x12 + x7 + x6 + x5 + x4 + x3 + x2 + x + 1