gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b0000000000000000000100000000000000000000000000000000000000000000
a = 0x0000100000000000
a = x44

b = b0000000000000000000000000000000011101011111100101000001100011111
b = 0x00000000ebf2831f
b = x31 + x30 + x29 + x27 + x25 + x24 + x23 + x22 + x21 + x20 + x17 + x15 + x9 + x8 + x4 + x3 + x2 + x + 1

  100000000000000000000000000000000000000000000 | 11101011111100101000001100011111
- 11101011111100101000001100011111              | 1
  --------------------------------------------- |
   11010111111001010000011000111110000000000000 |
-  11101011111100101000001100011111             | 1
  --------------------------------------------- |
     111100000101111000010100100001000000000000 |
-   00000000000000000000000000000000            | 0
-    11101011111100101000001100011111           | 1
  --------------------------------------------- |
        110111010110010010111100110110000000000 |
-     00000000000000000000000000000000          | 0
-      00000000000000000000000000000000         | 0
-       11101011111100101000001100011111        | 1
  --------------------------------------------- |
          1101101001011000111111110001110000000 |
-        00000000000000000000000000000000       | 0
-         11101011111100101000001100011111      | 1
  --------------------------------------------- |
            11000110101010011111000000001100000 |
-          00000000000000000000000000000000     | 0
-           11101011111100101000001100011111    | 1
  --------------------------------------------- |
              101101010110110111001100010011000 |
-            00000000000000000000000000000000   | 0
-             11101011111100101000001100011111  | 1
  --------------------------------------------- |
               10111101001111101001111010100110 |
-              11101011111100101000001100011111 | 1
  --------------------------------------------- |
                1010110110011000001110110111001 |

cquotient = b0000000000000000000000000000000000000000000000000011010010101011
cquotient = 0x00000000000034ab
cquotient = x13 + x12 + x10 + x7 + x5 + x3 + x + 1

cremainder = b0000000000000000000000000000000001010110110011000001110110111001
cremainder = 0x0000000056cc1db9
cremainder = x30 + x28 + x26 + x25 + x23 + x22 + x19 + x18 + x12 + x11 + x10 + x8 + x7 + x5 + x4 + x3 + 1