gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000000000000101110100010000100110111110101011011111101100100000011000011001101000010001111011
a = 0x00000000000174426fab7ec81866847b
a = 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

b = b00000000000000000000000000000000000000000000000000101110100111001100111011111100001111100100100010110111110000100100010000011101
b = 0x0000000000002e9ccefc3e48b7c2441d
b = 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

  101110100010000100110111110101011011111101100100000011000011001101000010001111011 | 101110100111001100111011111100001111100100100010110111110000100100010000011101
- 101110100111001100111011111100001111100100100010110111110000100100010000011101    | 1
  --------------------------------------------------------------------------------- |
           101001000001100001001010100011001000110110100110011101001010010010010011 |
-  000000000000000000000000000000000000000000000000000000000000000000000000000000   | 0
-   000000000000000000000000000000000000000000000000000000000000000000000000000000  | 0
-    000000000000000000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000
cquotient = 0x00000000000000000000000000000008
cquotient = x3

cremainder = b00000000000000000000000000000000000000000000000000000000101001000001100001001010100011001000110110100110011101001010010010010011
cremainder = 0x00000000000000a4184a8c8da674a493
cremainder = x71 + x69 + x66 + x60 + x59 + x54 + x51 + x49 + x47 + x43 + x42 + x39 + x35 + x34 + x32 + x31 + x29 + x26 + x25 + x22 + x21 + x20 + x18 + x15 + x13 + x10 + x7 + x4 + x + 1