gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000000000101011111000110011011101110000001100101101101100000001101100100100001110001110111110
a = 0x00000000000af8cddc0cb6c06c90e3be
a = x83 + x81 + x79 + x78 + x77 + x76 + x75 + x71 + x70 + x67 + x66 + x64 + x63 + x62 + x60 + x59 + x58 + x51 + x50 + x47 + x45 + x44 + x42 + x41 + x39 + x38 + x30 + x29 + x27 + x26 + x23 + x20 + x15 + x14 + x13 + x9 + x8 + x7 + x5 + x4 + x3 + x2 + x

b = b00000000000000000000000000000000000000000000000101110100010000100110111110101011011111101100100000011000011001101000010001111011
b = 0x00000000000174426fab7ec81866847b
b = x80 + x78 + x77 + x76 + x74 + x70 + x65 + x62 + x61 + x59 + x58 + x57 + x56 + x55 + x53 + x51 + x49 + x48 + x46 + x45 + x44 + x43 + x42 + x41 + x39 + x38 + x35 + x28 + x27 + x22 + x21 + x18 + x17 + x15 + x10 + x6 + x5 + x4 + x3 + x + 1

  101011111000110011011101110000001100101101101100000001101100100100001110001110111110 | 101110100010000100110111110101011011111101100100000011000011001101000010001111011
- 101110100010000100110111110101011011111101100100000011000011001101000010001111011    | 1
  ------------------------------------------------------------------------------------ |
     101011010110111101010000101010111010000001000000010101111101001001100000001100110 |
-  000000000000000000000000000000000000000000000000000000000000000000000000000000000   | 0
-   000000000000000000000000000000000000000000000000000000000000000000000000000000000  | 0
-    101110100010000100110111110101011011111101100100000011000011001101000010001111011 | 1
  ------------------------------------------------------------------------------------ |
        101110100111001100111011111100001111100100100010110111110000100100010000011101 |

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001
cquotient = 0x00000000000000000000000000000009
cquotient = x3 + 1

cremainder = b00000000000000000000000000000000000000000000000000101110100111001100111011111100001111100100100010110111110000100100010000011101
cremainder = 0x0000000000002e9ccefc3e48b7c2441d
cremainder = x77 + x75 + x74 + x73 + x71 + x68 + x67 + x66 + x63 + x62 + x59 + x58 + x57 + x55 + x54 + x53 + x52 + x51 + x50 + x45 + x44 + x43 + x42 + x41 + x38 + x35 + x31 + x29 + x28 + x26 + x25 + x24 + x23 + x22 + x17 + x14 + x10 + x4 + x3 + x2 + 1