gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b0000000000000000000000000000010000000000000000000000000000000000
a = 0x0000000400000000
a = x34

b = b0000000000000000000000000000000000000000001001111000101010011001
b = 0x0000000000278a99
b = x21 + x18 + x17 + x16 + x15 + x11 + x9 + x7 + x4 + x3 + 1

  10000000000000000000000000000000000 | 1001111000101010011001
- 1001111000101010011001              | 1
  ----------------------------------- |
     11110001010100110010000000000000 |
-  0000000000000000000000             | 0
-   0000000000000000000000            | 0
-    1001111000101010011001           | 1
  ----------------------------------- |
      1101111011110010100010000000000 |
-     1001111000101010011001          | 1
  ----------------------------------- |
       100000011011000111011000000000 |
-      1001111000101010011001         | 1
  ----------------------------------- |
          111111001101110111100000000 |
-       0000000000000000000000        | 0
-        0000000000000000000000       | 0
-         1001111000101010011001      | 1
  ----------------------------------- |
           11000101111011110000100000 |
-          1001111000101010011001     | 1
  ----------------------------------- |
            1011011110001010110110000 |
-           1001111000101010011001    | 1
  ----------------------------------- |
              10100110100000101111000 |
-            0000000000000000000000   | 0
-             1001111000101010011001  | 1
  ----------------------------------- |
                111000101010001001010 |
-              0000000000000000000000 | 0

cquotient = b0000000000000000000000000000000000000000000000000010011100111010
cquotient = 0x000000000000273a
cquotient = x13 + x10 + x9 + x8 + x5 + x4 + x3 + x

cremainder = b0000000000000000000000000000000000000000000111000101010001001010
cremainder = 0x00000000001c544a
cremainder = x20 + x19 + x18 + x14 + x12 + x10 + x6 + x3 + x