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 = b00110101001011110110101011111111010101011110110000100000100101000101100000111000111010011110110101001011101100101011010101011000
b = 0x352f6aff55ec20945838e9ed4bb2b558
b = x125 + x124 + x122 + x120 + x117 + x115 + x114 + x113 + x112 + x110 + x109 + x107 + x105 + x103 + x102 + x101 + x100 + x99 + x98 + x97 + x96 + x94 + x92 + x90 + x88 + x87 + x86 + x85 + x83 + x82 + x77 + x71 + x68 + x66 + x62 + x60 + x59 + x53 + x52 + x51 + x47 + x46 + x45 + x43 + x40 + x39 + x38 + x37 + x35 + x34 + x32 + x30 + x27 + x25 + x24 + x23 + x21 + x20 + x17 + x15 + x13 + x12 + x10 + x8 + x6 + x4 + x3

  1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001 | 110101001011110110101011111111010101011110110000100000100101000101100000111000111010011110110101001011101100101011010101011000
- 110101001011110110101011111111010101011110110000100000100101000101100000111000111010011110110101001011101100101011010101011000  | 1
  ------------------------------------------------------------------------------------------------------------------------------- |
     1111101100001011111000100100101000001110101000000100011100011101011001101001100010100011000101100100010000111110000111111001 |
-  000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010
cquotient = 0x00000000000000000000000000000002
cquotient = x

cremainder = b00001111101100001011111000100100101000001110101000000100011100011101011001101001100010100011000101100100010000111110000111111001
cremainder = 0x0fb0be24a0ea0471d6698a316443e1f9
cremainder = x123 + x122 + x121 + x120 + x119 + x117 + x116 + x111 + x109 + x108 + x107 + x106 + x105 + x101 + x98 + x95 + x93 + x87 + x86 + x85 + x83 + x81 + x74 + x70 + x69 + x68 + x64 + x63 + x62 + x60 + x58 + x57 + x54 + x53 + x51 + x48 + x47 + x43 + x41 + x37 + x36 + x32 + x30 + x29 + x26 + x22 + x17 + x16 + x15 + x14 + x13 + x8 + x7 + x6 + x5 + x4 + x3 + 1