gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000001100011010001111111101110010110010011100000001101000101101011010101110000101000010011100101111100110001
a = 0x0000006347fb964e0345ad5c284e5f31
a = x102 + x101 + x97 + x96 + x94 + x90 + x89 + x88 + x87 + x86 + x85 + x84 + x83 + x81 + x80 + x79 + x76 + x74 + x73 + x70 + x67 + x66 + x65 + x57 + x56 + x54 + x50 + x48 + x47 + x45 + x43 + x42 + x40 + x38 + x36 + x35 + x34 + x29 + x27 + x22 + x19 + x18 + x17 + x14 + x12 + x11 + x10 + x9 + x8 + x5 + x4 + 1

b = b00000000000000000000000000011101000110001001011001101101001000100011001010111000011100011101001101010101001101011110111010001101
b = 0x0000001d18966d2232b871d35535ee8d
b = x100 + x99 + x98 + x96 + x92 + x91 + x87 + x84 + x82 + x81 + x78 + x77 + x75 + x74 + x72 + x69 + x65 + x61 + x60 + x57 + x55 + x53 + x52 + x51 + x46 + x45 + x44 + x40 + x39 + x38 + x36 + x33 + x32 + x30 + x28 + x26 + x24 + x21 + x20 + x18 + x16 + x15 + x14 + x13 + x11 + x10 + x9 + x7 + x3 + x2 + 1

  1100011010001111111101110010110010011100000001101000101101011010101110000101000010011100101111100110001 | 11101000110001001011001101101001000100011001010111000011100011101001101010101001101011110111010001101
- 11101000110001001011001101101001000100011001010111000011100011101001101010101001101011110111010001101   | 1
  ------------------------------------------------------------------------------------------------------- |
    10111001001011010001000100010110001101100100110100100011010100001000101111100100110011110010100000101 |
-  00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000  | 0
-   11101000110001001011001101101001000100011001010111000011100011101001101010101001101011110111010001101 | 1
  ------------------------------------------------------------------------------------------------------- |
     1010001111010011010001001111111001001111101100011100000110111100001000101001101011000000101110001000 |

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101
cquotient = 0x00000000000000000000000000000005
cquotient = x2 + 1

cremainder = b00000000000000000000000000001010001111010011010001001111111001001111101100011100000110111100001000101001101011000000101110001000
cremainder = 0x0000000a3d344fe4fb1c1bc229ac0b88
cremainder = x99 + x97 + x93 + x92 + x91 + x90 + x88 + x85 + x84 + x82 + x78 + x75 + x74 + x73 + x72 + x71 + x70 + x69 + x66 + x63 + x62 + x61 + x60 + x59 + x57 + x56 + x52 + x51 + x50 + x44 + x43 + x41 + x40 + x39 + x38 + x33 + x29 + x27 + x24 + x23 + x21 + x19 + x18 + x11 + x9 + x8 + x7 + x3