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 = b00000000000000000000000000000000000000000000000000000000000000001001101010111010011010001110111100001100111101011100001010111111
b = 0x00000000000000009aba68ef0cf5c2bf
b = x63 + x60 + x59 + x57 + x55 + x53 + x52 + x51 + x49 + x46 + x45 + x43 + x39 + x38 + x37 + x35 + x34 + x33 + x32 + x27 + x26 + x23 + x22 + x21 + x20 + x18 + x16 + x15 + x14 + x9 + x7 + x5 + x4 + x3 + x2 + x + 1

  100000000000000000000000000000000000000000000000000000000000000000000 | 1001101010111010011010001110111100001100111101011100001010111111
- 1001101010111010011010001110111100001100111101011100001010111111      | 1
  --------------------------------------------------------------------- |
     110101011101001101000111011110000110011110101110000101011111100000 |
-  0000000000000000000000000000000000000000000000000000000000000000     | 0
-   0000000000000000000000000000000000000000000000000000000000000000    | 0
-    1001101010111010011010001110111100001100111101011100001010111111   | 1
  --------------------------------------------------------------------- |
      10011110110100100101111100101110110101101011011110101110100011100 |
-     1001101010111010011010001110111100001100111101011100001010111111  | 1
  --------------------------------------------------------------------- |
           100011010000011011111000001110110100100001001101100001100010 |
-      0000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100110
cquotient = 0x00000000000000000000000000000026
cquotient = x5 + x2 + x

cremainder = b00000000000000000000000000000000000000000000000000000000000000000000100011010000011011111000001110110100100001001101100001100010
cremainder = 0x000000000000000008d06f83b484d862
cremainder = x59 + x55 + x54 + x52 + x46 + x45 + x43 + x42 + x41 + x40 + x39 + x33 + x32 + x31 + x29 + x28 + x26 + x23 + x18 + x15 + x14 + x12 + x11 + x6 + x5 + x