gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000110000010000000001110010101000111111000110110001001111110001101000010010001110000111100000001000101110011110111111
a = 0x00030401ca8fc6c4fc6848e1e022e7bf
a = x113 + x112 + x106 + x96 + x95 + x94 + x91 + x89 + x87 + x83 + x82 + x81 + x80 + x79 + x78 + x74 + x73 + x71 + x70 + x66 + x63 + x62 + x61 + x60 + x59 + x58 + x54 + x53 + x51 + x46 + x43 + x39 + x38 + x37 + x32 + x31 + x30 + x29 + x21 + x17 + x15 + x14 + x13 + x10 + x9 + x8 + x7 + x5 + x4 + x3 + x2 + x + 1

b = b00000000000000000000000001100011010001111111101110010110010011100000001101000101101011010101110000101000010011100101111100110001
b = 0x0000006347fb964e0345ad5c284e5f31
b = x102 + x101 + x97 + x96 + x94 + x90 + x89 + x88 + x87 + x86 + x85 + x84 + x83 + x81 + x80 + x79 + x76 + x74 + x73 + x70 + x67 + x66 + x65 + x57 + x56 + x54 + x50 + x48 + x47 + x45 + x43 + x42 + x40 + x38 + x36 + x35 + x34 + x29 + x27 + x22 + x19 + x18 + x17 + x14 + x12 + x11 + x10 + x9 + x8 + x5 + x4 + 1

  110000010000000001110010101000111111000110110001001111110001101000010010001110000111100000001000101110011110111111 | 1100011010001111111101110010110010011100000001101000101101011010101110000101000010011100101111100110001
- 1100011010001111111101110010110010011100000001101000101101011010101110000101000010011100101111100110001            | 1
  ------------------------------------------------------------------------------------------------------------------ |
       1111000111110000101100011110110110110110111101101000100000010101010011010001110010010110110110110111110111111 |
-  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000           | 0
-   0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000          | 0
-    0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000         | 0
-     0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000        | 0
-      1100011010001111111101110010110010011100000001101000101101011010101110000101000010011100101111100110001       | 1
  ------------------------------------------------------------------------------------------------------------------ |
         11011101111111010001101100000100101010111100000000001101001111111101010100110000001010011001010001111111111 |
-       0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000      | 0
-        1100011010001111111101110010110010011100000001101000101101011010101110000101000010011100101111100110001     | 1
  ------------------------------------------------------------------------------------------------------------------ |
            11011011100101110110000101000001101111100011010000110011001010110110101100000101101010010101000011101111 |
-         0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000    | 0
-          0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000   | 0
-           1100011010001111111101110010110010011100000001101000101101011010101110000101000010011100101111100110001  | 1
  ------------------------------------------------------------------------------------------------------------------ |
               11101000110001001011001101101001000100011001010111000011100011101001101010101001101011110111010001101 |
-            0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100001010010
cquotient = 0x00000000000000000000000000000852
cquotient = x11 + x6 + x4 + x

cremainder = b00000000000000000000000000011101000110001001011001101101001000100011001010111000011100011101001101010101001101011110111010001101
cremainder = 0x0000001d18966d2232b871d35535ee8d
cremainder = x100 + x99 + x98 + x96 + x92 + x91 + x87 + x84 + x82 + x81 + x78 + x77 + x75 + x74 + x72 + x69 + x65 + x61 + x60 + x57 + x55 + x53 + x52 + x51 + x46 + x45 + x44 + x40 + x39 + x38 + x36 + x33 + x32 + x30 + x28 + x26 + x24 + x21 + x20 + x18 + x16 + x15 + x14 + x13 + x11 + x10 + x9 + x7 + x3 + x2 + 1