gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 0x00000000010000000000000000000000
a = x88

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

  10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 1101111001110000111011101111011111000001100011111011011110011011
- 1101111001110000111011101111011111000001100011111011011110011011                          | 1
  ----------------------------------------------------------------------------------------- |
   1011110011100001110111011110111110000011000111110110111100110110000000000000000000000000 |
-  1101111001110000111011101111011111000001100011111011011110011011                         | 1
  ----------------------------------------------------------------------------------------- |
    110001010010001001100110001100001000010100100001101100010101101000000000000000000000000 |
-   1101111001110000111011101111011111000001100011111011011110011011                        | 1
  ----------------------------------------------------------------------------------------- |
       110110101001010001000110001110100010010101110000001101100000100000000000000000000000 |
-    0000000000000000000000000000000000000000000000000000000000000000                       | 0
-     0000000000000000000000000000000000000000000000000000000000000000                      | 0
-      1101111001110000111011101111011111000001100011111011011110011011                     | 1
  ----------------------------------------------------------------------------------------- |
            1001110010010101000110011011110010011111111100000011001001100000000000000000000 |
-       0000000000000000000000000000000000000000000000000000000000000000                    | 0
-        0000000000000000000000000000000000000000000000000000000000000000                   | 0
-         0000000000000000000000000000000000000000000000000000000000000000                  | 0
-          0000000000000000000000000000000000000000000000000000000000000000                 | 0
-           1101111001110000111011101111011111000001100011111011011110011011                | 1
  ----------------------------------------------------------------------------------------- |
             100001011100101111101110100101101011110011111111000010111111011000000000000000 |
-            1101111001110000111011101111011111000001100011111011011110011011               | 1
  ----------------------------------------------------------------------------------------- |
              10110111011101100000000011000010111110101110000101111000110110100000000000000 |
-             1101111001110000111011101111011111000001100011111011011110011011              | 1
  ----------------------------------------------------------------------------------------- |
               1101001000001101110111000110101001110110110111011001111010000010000000000000 |
-              1101111001110000111011101111011111000001100011111011011110011011             | 1
  ----------------------------------------------------------------------------------------- |
                   110001111101001100101001110110110111010100100010100100011001000000000000 |
-               0000000000000000000000000000000000000000000000000000000000000000            | 0
-                0000000000000000000000000000000000000000000000000000000000000000           | 0
-                 0000000000000000000000000000000000000000000000000000000000000000          | 0
-                  1101111001110000111011101111011111000001100011111011011110011011         | 1
  ----------------------------------------------------------------------------------------- |
                      110011010001111000111001011001011010010101101001001100000101100000000 |
-                   0000000000000000000000000000000000000000000000000000000000000000        | 0
-                    0000000000000000000000000000000000000000000000000000000000000000       | 0
-                     1101111001110000111011101111011111000001100011111011011110011011      | 1
  ----------------------------------------------------------------------------------------- |
                         100110110111011010111100100100110010011100110100001111100001100000 |
-                      0000000000000000000000000000000000000000000000000000000000000000     | 0
-                       0000000000000000000000000000000000000000000000000000000000000000    | 0
-                        1101111001110000111011101111011111000001100011111011011110011011   | 1
  ----------------------------------------------------------------------------------------- |
                          10001010000011001010010011001001110011010111011100010011000001100 |
-                         1101111001110000111011101111011111000001100011111011011110011011  | 1
  ----------------------------------------------------------------------------------------- |
                           1010100011111000100101000111110000011001111100010100100100111010 |
-                          1101111001110000111011101111011111000001100011111011011110011011 | 1
  ----------------------------------------------------------------------------------------- |
                            111011010001000011110101000101111011000011111101111111010100001 |

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011100100001111000100100111
cquotient = 0x0000000000000000000000000390f127
cquotient = x25 + x24 + x23 + x20 + x15 + x14 + x13 + x12 + x8 + x5 + x2 + x + 1

cremainder = b00000000000000000000000000000000000000000000000000000000000000000111011010001000011110101000101111011000011111101111111010100001
cremainder = 0x000000000000000076887a8bd87efea1
cremainder = x62 + x61 + x60 + x58 + x57 + x55 + x51 + x46 + x45 + x44 + x43 + x41 + x39 + x35 + x33 + x32 + x31 + x30 + x28 + x27 + x22 + x21 + x20 + x19 + x18 + x17 + x15 + x14 + x13 + x12 + x11 + x10 + x9 + x7 + x5 + 1