gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 0x00000000001000000000000000000000
a = x84

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

  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 1001101010111010011010001110111100001100111101011100001010111111
- 1001101010111010011010001110111100001100111101011100001010111111                      | 1
  ------------------------------------------------------------------------------------- |
     1101010111010011010001110111100001100111101011100001010111111000000000000000000000 |
-  0000000000000000000000000000000000000000000000000000000000000000                     | 0
-   0000000000000000000000000000000000000000000000000000000000000000                    | 0
-    1001101010111010011010001110111100001100111101011100001010111111                   | 1
  ------------------------------------------------------------------------------------- |
      100111101101001001011111001011101101011010110111101011101000111000000000000000000 |
-     1001101010111010011010001110111100001100111101011100001010111111                  | 1
  ------------------------------------------------------------------------------------- |
           1000110100000110111110000011101101001000010011011000011000100000000000000000 |
-      0000000000000000000000000000000000000000000000000000000000000000                 | 0
-       0000000000000000000000000000000000000000000000000000000000000000                | 0
-        0000000000000000000000000000000000000000000000000000000000000000               | 0
-         0000000000000000000000000000000000000000000000000000000000000000              | 0
-          1001101010111010011010001110111100001100111101011100001010111111             | 1
  ------------------------------------------------------------------------------------- |
              1011110111100100100001101010001000100101110000100010010011111000000000000 |
-           0000000000000000000000000000000000000000000000000000000000000000            | 0
-            0000000000000000000000000000000000000000000000000000000000000000           | 0
-             1001101010111010011010001110111100001100111101011100001010111111          | 1
  ------------------------------------------------------------------------------------- |
                10011101011110111011100100110100101001001101111110011001000111000000000 |
-              0000000000000000000000000000000000000000000000000000000000000000         | 0
-               1001101010111010011010001110111100001100111101011100001010111111        | 1
  ------------------------------------------------------------------------------------- |
                     111110000011101000111011011101010000010101001011011101000110000000 |
-                0000000000000000000000000000000000000000000000000000000000000000       | 0
-                 0000000000000000000000000000000000000000000000000000000000000000      | 0
-                  0000000000000000000000000000000000000000000000000000000000000000     | 0
-                   0000000000000000000000000000000000000000000000000000000000000000    | 0
-                    1001101010111010011010001110111100001100111101011100001010111111   | 1
  ------------------------------------------------------------------------------------- |
                      11000101000000001010011100110100000100110111110101101101101111100 |
-                     1001101010111010011010001110111100001100111101011100001010111111  | 1
  ------------------------------------------------------------------------------------- |
                       1011111101110101100111111011011000111111000100010101111000000010 |
-                      1001101010111010011010001110111100001100111101011100001010111111 | 1
  ------------------------------------------------------------------------------------- |
                         10010111001111111101110101100100110011111001001001110010111101 |

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001100001001010000111
cquotient = 0x00000000000000000000000000261287
cquotient = x21 + x18 + x17 + x12 + x9 + x7 + x2 + x + 1

cremainder = b00000000000000000000000000000000000000000000000000000000000000000010010111001111111101110101100100110011111001001001110010111101
cremainder = 0x000000000000000025cff75933e49cbd
cremainder = x61 + x58 + x56 + x55 + x54 + x51 + x50 + x49 + x48 + x47 + x46 + x45 + x44 + x42 + x41 + x40 + x38 + x36 + x35 + x32 + x29 + x28 + x25 + x24 + x23 + x22 + x21 + x18 + x15 + x12 + x11 + x10 + x7 + x5 + x4 + x3 + x2 + 1