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 = b00000000000000000000000000000000000000000000000000000000000000001101111001110000111011101111011111000001100011111011011110011011
b = 0x0000000000000000de70eef7c18fb79b
b = x63 + x62 + x60 + x59 + x58 + x57 + x54 + x53 + x52 + x47 + x46 + x45 + x43 + x42 + x41 + x39 + x38 + x37 + x36 + x34 + x33 + x32 + x31 + x30 + x24 + x23 + x19 + x18 + x17 + x16 + x15 + x13 + x12 + x10 + x9 + x8 + x7 + x4 + x3 + x + 1

  1000000000000000000000000000000000000000000000000000000000000000000 | 1101111001110000111011101111011111000001100011111011011110011011
- 1101111001110000111011101111011111000001100011111011011110011011    | 1
  ------------------------------------------------------------------- |
   101111001110000111011101111011111000001100011111011011110011011000 |
-  1101111001110000111011101111011111000001100011111011011110011011   | 1
  ------------------------------------------------------------------- |
    11000101001000100110011000110000100001010010000110110001010110100 |
-   1101111001110000111011101111011111000001100011111011011110011011  | 1
  ------------------------------------------------------------------- |
       11011010100101000100011000111010001001010111000000110110000010 |
-    0000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001110
cquotient = 0x0000000000000000000000000000000e
cquotient = x3 + x2 + x

cremainder = b00000000000000000000000000000000000000000000000000000000000000000011011010100101000100011000111010001001010111000000110110000010
cremainder = 0x000000000000000036a5118e895c0d82
cremainder = x61 + x60 + x58 + x57 + x55 + x53 + x50 + x48 + x44 + x40 + x39 + x35 + x34 + x33 + x31 + x27 + x24 + x22 + x20 + x19 + x18 + x11 + x10 + x8 + x7 + x