gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 0x00000000040000000000000000000000
a = x90

b = b00000000000000000000000000000000000000000000000000000000000000000110011001110111111000100000000101000110010100001000111110110111
b = 0x00000000000000006677e20146508fb7
b = x62 + x61 + x58 + x57 + x54 + x53 + x52 + x50 + x49 + x48 + x47 + x46 + x45 + x41 + x32 + x30 + x26 + x25 + x22 + x20 + x15 + x11 + x10 + x9 + x8 + x7 + x5 + x4 + x2 + x + 1

  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 110011001110111111000100000000101000110010100001000111110110111
- 110011001110111111000100000000101000110010100001000111110110111                             | 1
  ------------------------------------------------------------------------------------------- |
   100110011101111110001000000001010001100101000010001111101101110000000000000000000000000000 |
-  110011001110111111000100000000101000110010100001000111110110111                            | 1
  ------------------------------------------------------------------------------------------- |
    10101010011000001001100000001111001010111100011001000011011001000000000000000000000000000 |
-   110011001110111111000100000000101000110010100001000111110110111                           | 1
  ------------------------------------------------------------------------------------------- |
     1100110100011110101110000001101101001110110011101011100000010100000000000000000000000000 |
-    110011001110111111000100000000101000110010100001000111110110111                          | 1
  ------------------------------------------------------------------------------------------- |
            111110001011111000001100111000010011011111010011101111010000000000000000000000000 |
-     000000000000000000000000000000000000000000000000000000000000000                         | 0
-      000000000000000000000000000000000000000000000000000000000000000                        | 0
-       000000000000000000000000000000000000000000000000000000000000000                       | 0
-        000000000000000000000000000000000000000000000000000000000000000                      | 0
-         000000000000000000000000000000000000000000000000000000000000000                     | 0
-          000000000000000000000000000000000000000000000000000000000000000                    | 0
-           110011001110111111000100000000101000110010100001000111110110111                   | 1
  ------------------------------------------------------------------------------------------- |
              1101000101000111001000111000111011101101110010101000100110111000000000000000000 |
-            000000000000000000000000000000000000000000000000000000000000000                  | 0
-             110011001110111111000100000000101000110010100001000111110110111                 | 1
  ------------------------------------------------------------------------------------------- |
                 1110110101000111001111000110001100001011010111001011011010110000000000000000 |
-              000000000000000000000000000000000000000000000000000000000000000                | 0
-               000000000000000000000000000000000000000000000000000000000000000               | 0
-                110011001110111111000100000000101000110010100001000111110110111              | 1
  ------------------------------------------------------------------------------------------- |
                   10000110101000111110000110000110000111111111011010100111011110000000000000 |
-                 000000000000000000000000000000000000000000000000000000000000000             | 0
-                  110011001110111111000100000000101000110010100001000111110110111            | 1
  ------------------------------------------------------------------------------------------- |
                    1001010010011000010010110000100100100110101011110111000000101100000000000 |
-                   110011001110111111000100000000101000110010100001000111110110111           | 1
  ------------------------------------------------------------------------------------------- |
                     101100001110111100011110000101110101010000011100110111101000010000000000 |
-                    110011001110111111000100000000101000110010100001000111110110111          | 1
  ------------------------------------------------------------------------------------------- |
                      11111000000000011011010000101011101100010111101110000011110101000000000 |
-                     110011001110111111000100000000101000110010100001000111110110111         | 1
  ------------------------------------------------------------------------------------------- |
                        110100111011100111000000101001001111011101101010011100101110100000000 |
-                      000000000000000000000000000000000000000000000000000000000000000        | 0
-                       110011001110111111000100000000101000110010100001000111110110111       | 1
  ------------------------------------------------------------------------------------------- |
                           111110101011000000100101001100111101111001011011011011000011000000 |
-                        000000000000000000000000000000000000000000000000000000000000000      | 0
-                         000000000000000000000000000000000000000000000000000000000000000     | 0
-                          110011001110111111000100000000101000110010100001000111110110111    | 1
  ------------------------------------------------------------------------------------------- |
                             1101100101111111100001001100010101001011111010011100110101111000 |
-                           000000000000000000000000000000000000000000000000000000000000000   | 0
-                            110011001110111111000100000000101000110010100001000111110110111  | 1
  ------------------------------------------------------------------------------------------- |
                                1010110010000010000001100011111000111010010001101001000010110 |
-                             000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011110000001010010111101001010
cquotient = 0x0000000000000000000000001e052f4a
cquotient = x28 + x27 + x26 + x25 + x18 + x16 + x13 + x11 + x10 + x9 + x8 + x6 + x3 + x

cremainder = b00000000000000000000000000000000000000000000000000000000000000000001010110010000010000001100011111000111010010001101001000010110
cremainder = 0x0000000000000000159040c7c748d216
cremainder = x60 + x58 + x56 + x55 + x52 + x46 + x39 + x38 + x34 + x33 + x32 + x31 + x30 + x26 + x25 + x24 + x22 + x19 + x15 + x14 + x12 + x9 + x4 + x2 + x