gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 0x00000000100000000000000000000000
a = x92

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

  100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 1101111001110000111011101111011111000001100011111011011110011011
- 1101111001110000111011101111011111000001100011111011011110011011                              | 1
  --------------------------------------------------------------------------------------------- |
   10111100111000011101110111101111100000110001111101101111001101100000000000000000000000000000 |
-  1101111001110000111011101111011111000001100011111011011110011011                             | 1
  --------------------------------------------------------------------------------------------- |
    1100010100100010011001100011000010000101001000011011000101011010000000000000000000000000000 |
-   1101111001110000111011101111011111000001100011111011011110011011                            | 1
  --------------------------------------------------------------------------------------------- |
       1101101010010100010001100011101000100101011100000011011000001000000000000000000000000000 |
-    0000000000000000000000000000000000000000000000000000000000000000                           | 0
-     0000000000000000000000000000000000000000000000000000000000000000                          | 0
-      1101111001110000111011101111011111000001100011111011011110011011                         | 1
  --------------------------------------------------------------------------------------------- |
            10011100100101010001100110111100100111111111000000110010011000000000000000000000000 |
-       0000000000000000000000000000000000000000000000000000000000000000                        | 0
-        0000000000000000000000000000000000000000000000000000000000000000                       | 0
-         0000000000000000000000000000000000000000000000000000000000000000                      | 0
-          0000000000000000000000000000000000000000000000000000000000000000                     | 0
-           1101111001110000111011101111011111000001100011111011011110011011                    | 1
  --------------------------------------------------------------------------------------------- |
             1000010111001011111011101001011010111100111111110000101111110110000000000000000000 |
-            1101111001110000111011101111011111000001100011111011011110011011                   | 1
  --------------------------------------------------------------------------------------------- |
              101101110111011000000000110000101111101011100001011110001101101000000000000000000 |
-             1101111001110000111011101111011111000001100011111011011110011011                  | 1
  --------------------------------------------------------------------------------------------- |
               11010010000011011101110001101010011101101101110110011110100000100000000000000000 |
-              1101111001110000111011101111011111000001100011111011011110011011                 | 1
  --------------------------------------------------------------------------------------------- |
                   1100011111010011001010011101101101110101001000101001000110010000000000000000 |
-               0000000000000000000000000000000000000000000000000000000000000000                | 0
-                0000000000000000000000000000000000000000000000000000000000000000               | 0
-                 0000000000000000000000000000000000000000000000000000000000000000              | 0
-                  1101111001110000111011101111011111000001100011111011011110011011             | 1
  --------------------------------------------------------------------------------------------- |
                      1100110100011110001110010110010110100101011010010011000001011000000000000 |
-                   0000000000000000000000000000000000000000000000000000000000000000            | 0
-                    0000000000000000000000000000000000000000000000000000000000000000           | 0
-                     1101111001110000111011101111011111000001100011111011011110011011          | 1
  --------------------------------------------------------------------------------------------- |
                         1001101101110110101111001001001100100111001101000011111000011000000000 |
-                      0000000000000000000000000000000000000000000000000000000000000000         | 0
-                       0000000000000000000000000000000000000000000000000000000000000000        | 0
-                        1101111001110000111011101111011111000001100011111011011110011011       | 1
  --------------------------------------------------------------------------------------------- |
                          100010100000110010100100110010011100110101110111000100110000011000000 |
-                         1101111001110000111011101111011111000001100011111011011110011011      | 1
  --------------------------------------------------------------------------------------------- |
                           10101000111110001001010001111100000110011111000101001001001110100000 |
-                          1101111001110000111011101111011111000001100011111011011110011011     | 1
  --------------------------------------------------------------------------------------------- |
                            1110110100010000111101010001011110110000111111011111110101000010000 |
-                           1101111001110000111011101111011111000001100011111011011110011011    | 1
  --------------------------------------------------------------------------------------------- |
                              11001101100000000110111110000001110001011100100100101011011001000 |
-                            0000000000000000000000000000000000000000000000000000000000000000   | 0
-                             1101111001110000111011101111011111000001100011111011011110011011  | 1
  --------------------------------------------------------------------------------------------- |
                                 10011111100001000000101110110000001000100011010011100111111110 |
-                              0000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111001000011110001001001111010
cquotient = 0x000000000000000000000000390f127a
cquotient = x29 + x28 + x27 + x24 + x19 + x18 + x17 + x16 + x12 + x9 + x6 + x5 + x4 + x3 + x

cremainder = b00000000000000000000000000000000000000000000000000000000000000000010011111100001000000101110110000001000100011010011100111111110
cremainder = 0x000000000000000027e102ec088d39fe
cremainder = x61 + x58 + x57 + x56 + x55 + x54 + x53 + x48 + x41 + x39 + x38 + x37 + x35 + x34 + x27 + x23 + x19 + x18 + x16 + x13 + x12 + x11 + x8 + x7 + x6 + x5 + x4 + x3 + x2 + x