gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b0000000000000000010000000000000000000000000000000000000000000000
a = 0x0000400000000000
a = x46

b = b0000000000000000000000000000000010110000110000010101001011111001
b = 0x00000000b0c152f9
b = x31 + x29 + x28 + x23 + x22 + x16 + x14 + x12 + x9 + x7 + x6 + x5 + x4 + x3 + 1

  10000000000000000000000000000000000000000000000 | 10110000110000010101001011111001
- 10110000110000010101001011111001                | 1
  ----------------------------------------------- |
    110000110000010101001011111001000000000000000 |
-  00000000000000000000000000000000               | 0
-   10110000110000010101001011111001              | 1
  ----------------------------------------------- |
     11100111100010000011001000111010000000000000 |
-    10110000110000010101001011111001             | 1
  ----------------------------------------------- |
      1010111010010010110000011000011000000000000 |
-     10110000110000010101001011111001            | 1
  ----------------------------------------------- |
         1111001010011100100110111111100000000000 |
-      00000000000000000000000000000000           | 0
-       00000000000000000000000000000000          | 0
-        10110000110000010101001011111001         | 1
  ----------------------------------------------- |
          100001001011101110010010000000100000000 |
-         10110000110000010101001011111001        | 1
  ----------------------------------------------- |
            1101000111101011000000111110110000000 |
-          00000000000000000000000000000000       | 0
-           10110000110000010101001011111001      | 1
  ----------------------------------------------- |
             110000100101010010100010001010100000 |
-            10110000110000010101001011111001     | 1
  ----------------------------------------------- |
              11100101001010111110000110100110000 |
-             10110000110000010101001011111001    | 1
  ----------------------------------------------- |
               1010101111010101011001101011111000 |
-              10110000110000010101001011111001   | 1
  ----------------------------------------------- |
                  1101100010100001101000100011100 |
-               00000000000000000000000000000000  | 0
-                00000000000000000000000000000000 | 0

cquotient = b0000000000000000000000000000000000000000000000001011100110111100
cquotient = 0x000000000000b9bc
cquotient = x15 + x13 + x12 + x11 + x8 + x7 + x5 + x4 + x3 + x2

cremainder = b0000000000000000000000000000000001101100010100001101000100011100
cremainder = 0x000000006c50d11c
cremainder = x30 + x29 + x27 + x26 + x22 + x20 + x15 + x14 + x12 + x8 + x4 + x3 + x2