gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b01100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001
a = 0x65ee6bda0b324559661859ebf3268b49
a = 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

b = b00010000010101010001010101000101000001010001000100000000000001000001000100000100000001000101010101010001000100010100010100000100
b = 0x10551545051100041104045551114504
b = x124 + x118 + x116 + x114 + x112 + x108 + x106 + x104 + x102 + x98 + x96 + x90 + x88 + x84 + x80 + x66 + x60 + x56 + x50 + x42 + x38 + x36 + x34 + x32 + x30 + x28 + x24 + x20 + x16 + x14 + x10 + x8 + x2

  1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001 | 10000010101010001010101000101000001010001000100000000000001000001000100000100000001000101010101010001000100010100010100000100
- 10000010101010001010101000101000001010001000100000000000001000001000100000100000001000101010101010001000100010100010100000100   | 1
  ------------------------------------------------------------------------------------------------------------------------------- |
   100100101110100011111011001110000111110111011001000101010010010010001000001000010010001011111010110111011000111001111101011001 |
-  10000010101010001010101000101000001010001000100000000000001000001000100000100000001000101010101010001000100010100010100000100  | 1
  ------------------------------------------------------------------------------------------------------------------------------- |
      100000100000001010001000100000101010101010001000101010000010000000000000000010000000001010000010101010000010001010101010001 |
-   00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110
cquotient = 0x00000000000000000000000000000006
cquotient = x2 + x

cremainder = b00000100000100000001010001000100000101010101010001000101010000010000000000000000010000000001010000010101010000010001010101010001
cremainder = 0x04101444155445410000401415411551
cremainder = x122 + x116 + x108 + x106 + x102 + x98 + x92 + x90 + x88 + x86 + x84 + x82 + x78 + x74 + x72 + x70 + x64 + x46 + x36 + x34 + x28 + x26 + x24 + x22 + x16 + x12 + x10 + x8 + x6 + x4 + 1