gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000
a = 0x00000000000000040000000000000000
a = x66

b = b00000000000000000000000000000000000000000000000000000000000000000110011001110111111000100000000101000110010100001000111110110111
b = 0x00000000000000006677e20146508fb7
b = x62 + x61 + x58 + x57 + x54 + x53 + x52 + x50 + x49 + x48 + x47 + x46 + x45 + x41 + x32 + x30 + x26 + x25 + x22 + x20 + x15 + x11 + x10 + x9 + x8 + x7 + x5 + x4 + x2 + x + 1

  1000000000000000000000000000000000000000000000000000000000000000000 | 110011001110111111000100000000101000110010100001000111110110111
- 110011001110111111000100000000101000110010100001000111110110111     | 1
  ------------------------------------------------------------------- |
   100110011101111110001000000001010001100101000010001111101101110000 |
-  110011001110111111000100000000101000110010100001000111110110111    | 1
  ------------------------------------------------------------------- |
    10101010011000001001100000001111001010111100011001000011011001000 |
-   110011001110111111000100000000101000110010100001000111110110111   | 1
  ------------------------------------------------------------------- |
     1100110100011110101110000001101101001110110011101011100000010100 |
-    110011001110111111000100000000101000110010100001000111110110111  | 1
  ------------------------------------------------------------------- |
            111110001011111000001100111000010011011111010011101111010 |
-     000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011110
cquotient = 0x0000000000000000000000000000001e
cquotient = x4 + x3 + x2 + x

cremainder = b00000000000000000000000000000000000000000000000000000000000000000000000111110001011111000001100111000010011011111010011101111010
cremainder = 0x000000000000000001f17c19c26fa77a
cremainder = x56 + x55 + x54 + x53 + x52 + x48 + x46 + x45 + x44 + x43 + x42 + x36 + x35 + x32 + x31 + x30 + x25 + x22 + x21 + x19 + x18 + x17 + x16 + x15 + x13 + x10 + x9 + x8 + x6 + x5 + x4 + x3 + x