gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000
a = 0x00000000000000100000000000000000
a = x68

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

  100000000000000000000000000000000000000000000000000000000000000000000 | 110011001110111111000100000000101000110010100001000111110110111
- 110011001110111111000100000000101000110010100001000111110110111       | 1
  --------------------------------------------------------------------- |
   10011001110111111000100000000101000110010100001000111110110111000000 |
-  110011001110111111000100000000101000110010100001000111110110111      | 1
  --------------------------------------------------------------------- |
    1010101001100000100110000000111100101011110001100100001101100100000 |
-   110011001110111111000100000000101000110010100001000111110110111     | 1
  --------------------------------------------------------------------- |
     110011010001111010111000000110110100111011001110101110000001010000 |
-    110011001110111111000100000000101000110010100001000111110110111    | 1
  --------------------------------------------------------------------- |
            11111000101111100000110011100001001101111101001110111101000 |
-     000000000000000000000000000000000000000000000000000000000000000   | 0
-      000000000000000000000000000000000000000000000000000000000000000  | 0
-       000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111000
cquotient = 0x00000000000000000000000000000078
cquotient = x6 + x5 + x4 + x3

cremainder = b00000000000000000000000000000000000000000000000000000000000000000000011111000101111100000110011100001001101111101001110111101000
cremainder = 0x000000000000000007c5f06709be9de8
cremainder = x58 + x57 + x56 + x55 + x54 + x50 + x48 + x47 + x46 + x45 + x44 + x38 + x37 + x34 + x33 + x32 + x27 + x24 + x23 + x21 + x20 + x19 + x18 + x17 + x15 + x12 + x11 + x10 + x8 + x7 + x6 + x5 + x3