gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 0x0000000000000000000000000040000000000000000000000000000000000000
a = x150

b = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001
b = 0x0000000000000000000000000000000065ee6bda0b324559661859ebf3268b49
b = x126 + x125 + x122 + x120 + x119 + x118 + x117 + x115 + x114 + x113 + x110 + x109 + x107 + x105 + x104 + x103 + x102 + x100 + x99 + x97 + x91 + x89 + x88 + x85 + x84 + x81 + x78 + x74 + x72 + x70 + x68 + x67 + x64 + x62 + x61 + x58 + x57 + x52 + x51 + x46 + x44 + x43 + x40 + x39 + x38 + x37 + x35 + x33 + x32 + x31 + x30 + x29 + x28 + x25 + x24 + x21 + x18 + x17 + x15 + x11 + x9 + x8 + x6 + x3 + 1

  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001
- 1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001                         | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
   100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001000000000000000000000000 |
-  1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001                        | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
    10111000110010101111000110111000011101010101101100111111101011101010100010100011101010001111000001010101101011100111011101101100000000000000000000000 |
-   1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001                       | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
     1110011000101100010011000001100011000110011111110110101000111000110010010010011000110110010011110110011111000110110000111111110000000000000000000000 |
-    1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001                      | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
       10110111110000100110111010110011010000000110111110000010001010000001010001011010000101100110001000000110001011110101010110111000000000000000000000 |
-     0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000                     | 0
-      1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001                    | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
        1111100000111101011100100000111010101100000101100001000100110101101100001101010101001011011010111100000011000100100001100101010000000000000000000 |
-       1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001                   | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
          11001111100001101001011011101010111010011100101001101110000111011111001110010111111000101111000010011010001001100100001100011000000000000000000 |
-        0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000                  | 0
-         1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001                 | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
               100010110100100000101011110111111111010111011100100101011110011111110100111010100010010011101111100011010110101010110001010000000000000000 |
-          0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000                | 0
-           0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000               | 0
-            0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000              | 0
-             0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000             | 0
-              1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001            | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
                10000001001010011111100011010111110001110111000000111110101010100111000110110101001011100111000011010110010011110100111110100100000000000 |
-               1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001           | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
                 1001010111101010010111101100011110100010001010010110100000110001011110110000101100111011010011100110000000000100101100100110110000000000 |
-                1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001          | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
                  101111000110110100010010111001110110100010011011110001010000011101101110011101110001000100110011000011001001001101001001111111000000000 |
-                 1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001         | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
                   11101111011000111000101010100110111111011111111010011111011010110100010010001111010001011100100111010101101111001011111011011100000000 |
-                  1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001        | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
                     100100101111110101110100010010111010111001101000010101110110011000100010111111111101100001111000110011111100011010100001001110000000 |
-                   0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000       | 0
-                    1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001      | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
                      10110010010000110100011111111111011100000001100110111011101010011101110110011110110101110101111001010011000101110110111101010100000 |
-                     1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001     | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
                       1111001100111111001000001001011011001100111110100110001000110110001000110101110011001001000100110110101010110100111100111000110000 |
-                      1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001    | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
                         11100011100011111101110010001011011010100111101110100010000100111011110110110001111010110001001000110011111001111001010001111000 |
-                       0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000   | 0
-                        1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001  | 1
  ------------------------------------------------------------------------------------------------------------------------------------------------------- |
                           101000010100110000101100111111011111000001111100101000101000010111000110000001010110001100010111010101101010101000001011101010 |
-                         0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111011010000111110111010
cquotient = 0x0000000000000000000000000000000000000000000000000000000001ed0fba
cquotient = x24 + x23 + x22 + x21 + x19 + x18 + x16 + x11 + x10 + x9 + x8 + x7 + x5 + x4 + x3 + x

cremainder = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000010100110000101100111111011111000001111100101000101000010111000110000001010110001100010111010101101010101000001011101010
cremainder = 0x0000000000000000000000000000000028530b3f7c1f28a1718158c5d5aa82ea
cremainder = x125 + x123 + x118 + x116 + x113 + x112 + x107 + x105 + x104 + x101 + x100 + x99 + x98 + x97 + x96 + x94 + x93 + x92 + x91 + x90 + x84 + x83 + x82 + x81 + x80 + x77 + x75 + x71 + x69 + x64 + x62 + x61 + x60 + x56 + x55 + x48 + x46 + x44 + x43 + x39 + x38 + x34 + x32 + x31 + x30 + x28 + x26 + x24 + x23 + x21 + x19 + x17 + x15 + x9 + x7 + x6 + x5 + x3 + x