gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 0x0000000000000000000000000000000400000000000000000000000000000000
a = x130

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

  10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001
- 1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001     | 1
  ----------------------------------------------------------------------------------------------------------------------------------- |
   1001011110111001101011110110100000101100110010010001010101100101100110000110000101100111101011111100110010011010001011010010010000 |
-  1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001    | 1
  ----------------------------------------------------------------------------------------------------------------------------------- |
    101110001100101011110001101110000111010101011011001111111010111010101000101000111010100011110000010101011010111001110111011011000 |
-   1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001   | 1
  ----------------------------------------------------------------------------------------------------------------------------------- |
     11100110001011000100110000011000110001100111111101101010001110001100100100100110001101100100111101100111110001101100001111111100 |
-    1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001  | 1
  ----------------------------------------------------------------------------------------------------------------------------------- |
       101101111100001001101110101100110100000001101111100000100010100000010100010110100001011001100010000001100010111101010101101110 |
-     0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011110
cquotient = 0x000000000000000000000000000000000000000000000000000000000000001e
cquotient = x4 + x3 + x2 + x

cremainder = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101101111100001001101110101100110100000001101111100000100010100000010100010110100001011001100010000001100010111101010101101110
cremainder = 0x000000000000000000000000000000002df09bacd01be08a05168598818bd56e
cremainder = x125 + x123 + x122 + x120 + x119 + x118 + x117 + x116 + x111 + x108 + x107 + x105 + x104 + x103 + x101 + x99 + x98 + x95 + x94 + x92 + x84 + x83 + x81 + x80 + x79 + x78 + x77 + x71 + x67 + x65 + x58 + x56 + x52 + x50 + x49 + x47 + x42 + x40 + x39 + x36 + x35 + x31 + x24 + x23 + x19 + x17 + x16 + x15 + x14 + x12 + x10 + x8 + x6 + x5 + x3 + x2 + x