gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 0x00000000004000000000000000000000
a = x86

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

  100000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 1101111001110000111011101111011111000001100011111011011110011011
- 1101111001110000111011101111011111000001100011111011011110011011                        | 1
  --------------------------------------------------------------------------------------- |
   10111100111000011101110111101111100000110001111101101111001101100000000000000000000000 |
-  1101111001110000111011101111011111000001100011111011011110011011                       | 1
  --------------------------------------------------------------------------------------- |
    1100010100100010011001100011000010000101001000011011000101011010000000000000000000000 |
-   1101111001110000111011101111011111000001100011111011011110011011                      | 1
  --------------------------------------------------------------------------------------- |
       1101101010010100010001100011101000100101011100000011011000001000000000000000000000 |
-    0000000000000000000000000000000000000000000000000000000000000000                     | 0
-     0000000000000000000000000000000000000000000000000000000000000000                    | 0
-      1101111001110000111011101111011111000001100011111011011110011011                   | 1
  --------------------------------------------------------------------------------------- |
            10011100100101010001100110111100100111111111000000110010011000000000000000000 |
-       0000000000000000000000000000000000000000000000000000000000000000                  | 0
-        0000000000000000000000000000000000000000000000000000000000000000                 | 0
-         0000000000000000000000000000000000000000000000000000000000000000                | 0
-          0000000000000000000000000000000000000000000000000000000000000000               | 0
-           1101111001110000111011101111011111000001100011111011011110011011              | 1
  --------------------------------------------------------------------------------------- |
             1000010111001011111011101001011010111100111111110000101111110110000000000000 |
-            1101111001110000111011101111011111000001100011111011011110011011             | 1
  --------------------------------------------------------------------------------------- |
              101101110111011000000000110000101111101011100001011110001101101000000000000 |
-             1101111001110000111011101111011111000001100011111011011110011011            | 1
  --------------------------------------------------------------------------------------- |
               11010010000011011101110001101010011101101101110110011110100000100000000000 |
-              1101111001110000111011101111011111000001100011111011011110011011           | 1
  --------------------------------------------------------------------------------------- |
                   1100011111010011001010011101101101110101001000101001000110010000000000 |
-               0000000000000000000000000000000000000000000000000000000000000000          | 0
-                0000000000000000000000000000000000000000000000000000000000000000         | 0
-                 0000000000000000000000000000000000000000000000000000000000000000        | 0
-                  1101111001110000111011101111011111000001100011111011011110011011       | 1
  --------------------------------------------------------------------------------------- |
                      1100110100011110001110010110010110100101011010010011000001011000000 |
-                   0000000000000000000000000000000000000000000000000000000000000000      | 0
-                    0000000000000000000000000000000000000000000000000000000000000000     | 0
-                     1101111001110000111011101111011111000001100011111011011110011011    | 1
  --------------------------------------------------------------------------------------- |
                         1001101101110110101111001001001100100111001101000011111000011000 |
-                      0000000000000000000000000000000000000000000000000000000000000000   | 0
-                       0000000000000000000000000000000000000000000000000000000000000000  | 0
-                        1101111001110000111011101111011111000001100011111011011110011011 | 1
  --------------------------------------------------------------------------------------- |
                          100010100000110010100100110010011100110101110111000100110000011 |

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111001000011110001001001
cquotient = 0x00000000000000000000000000e43c49
cquotient = x23 + x22 + x21 + x18 + x13 + x12 + x11 + x10 + x6 + x3 + 1

cremainder = b00000000000000000000000000000000000000000000000000000000000000000100010100000110010100100110010011100110101110111000100110000011
cremainder = 0x000000000000000045065264e6bb8983
cremainder = x62 + x58 + x56 + x50 + x49 + x46 + x44 + x41 + x38 + x37 + x34 + x31 + x30 + x29 + x26 + x25 + x23 + x21 + x20 + x19 + x17 + x16 + x15 + x11 + x8 + x7 + x + 1