gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000100001110110010000010010000100010011100001101110001111000100100001111100110101110000111111101
a = 0x0000000010ec8242270dc7890f9ae1fd
a = x92 + x87 + x86 + x85 + x83 + x82 + x79 + x73 + x70 + x65 + x61 + x58 + x57 + x56 + x51 + x50 + x48 + x47 + x46 + x42 + x41 + x40 + x39 + x35 + x32 + x27 + x26 + x25 + x24 + x23 + x20 + x19 + x17 + x15 + x14 + x13 + x8 + x7 + x6 + x5 + x4 + x3 + x2 + 1

b = b00000000000000000000000000000000000000100110000000101000000101101011110101000010010000111011011011011110011100110111000111101011
b = 0x0000000002602816bd4243b6de7371eb
b = x89 + x86 + x85 + x77 + x75 + x68 + x66 + x65 + x63 + x61 + x60 + x59 + x58 + x56 + x54 + x49 + x46 + x41 + x40 + x39 + x37 + x36 + x34 + x33 + x31 + x30 + x28 + x27 + x26 + x25 + x22 + x21 + x20 + x17 + x16 + x14 + x13 + x12 + x8 + x7 + x6 + x5 + x3 + x + 1

  100001110110010000010010000100010011100001101110001111000100100001111100110101110000111111101 | 100110000000101000000101101011110101000010010000111011011011011110011100110111000111101011
- 100110000000101000000101101011110101000010010000111011011011011110011100110111000111101011    | 1
  --------------------------------------------------------------------------------------------- |
     111110110111000010111101111100110100011111110110100011111111111100000000010110111010100101 |
-  000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000   | 0
-   000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000  | 0
-    100110000000101000000101101011110101000010010000111011011011011110011100110111000111101011 | 1
  --------------------------------------------------------------------------------------------- |
      11000110111101010111000010111000001011101100110011000100100100010011100100001111101001110 |

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

cremainder = b00000000000000000000000000000000000000011000110111101010111000010111000001011101100110011000100100100010011100100001111101001110
cremainder = 0x00000000018deae1705d998922721f4e
cremainder = x88 + x87 + x83 + x82 + x80 + x79 + x78 + x77 + x75 + x73 + x71 + x70 + x69 + x64 + x62 + x61 + x60 + x54 + x52 + x51 + x50 + x48 + x47 + x44 + x43 + x40 + x39 + x35 + x32 + x29 + x25 + x22 + x21 + x20 + x17 + x12 + x11 + x10 + x9 + x8 + x6 + x3 + x2 + x