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 = 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

  100000000000000000000000000000000000000000000000000000000000000000000 | 1101111001110000111011101111011111000001100011111011011110011011
- 1101111001110000111011101111011111000001100011111011011110011011      | 1
  --------------------------------------------------------------------- |
   10111100111000011101110111101111100000110001111101101111001101100000 |
-  1101111001110000111011101111011111000001100011111011011110011011     | 1
  --------------------------------------------------------------------- |
    1100010100100010011001100011000010000101001000011011000101011010000 |
-   1101111001110000111011101111011111000001100011111011011110011011    | 1
  --------------------------------------------------------------------- |
       1101101010010100010001100011101000100101011100000011011000001000 |
-    0000000000000000000000000000000000000000000000000000000000000000   | 0
-     0000000000000000000000000000000000000000000000000000000000000000  | 0
-      1101111001110000111011101111011111000001100011111011011110011011 | 1
  --------------------------------------------------------------------- |
            10011100100101010001100110111100100111111111000000110010011 |

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111001
cquotient = 0x00000000000000000000000000000039
cquotient = x5 + x4 + x3 + 1

cremainder = b00000000000000000000000000000000000000000000000000000000000000000000010011100100101010001100110111100100111111111000000110010011
cremainder = 0x000000000000000004e4a8cde4ff8193
cremainder = x58 + x55 + x54 + x53 + x50 + x47 + x45 + x43 + x39 + x38 + x35 + x34 + x32 + x31 + x30 + x29 + x26 + x23 + x22 + x21 + x20 + x19 + x18 + x17 + x16 + x15 + x8 + x7 + x4 + x + 1