gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 0x0000000000000000000000000000100000000000000000000000000000000000
a = x140

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

  100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001
- 1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001               | 1
  --------------------------------------------------------------------------------------------------------------------------------------------- |
   10010111101110011010111101101000001011001100100100010101011001011001100001100001011001111010111111001100100110100010110100100100000000000000 |
-  1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001              | 1
  --------------------------------------------------------------------------------------------------------------------------------------------- |
    1011100011001010111100011011100001110101010110110011111110101110101010001010001110101000111100000101010110101110011101110110110000000000000 |
-   1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001             | 1
  --------------------------------------------------------------------------------------------------------------------------------------------- |
     111001100010110001001100000110001100011001111111011010100011100011001001001001100011011001001111011001111100011011000011111111000000000000 |
-    1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001            | 1
  --------------------------------------------------------------------------------------------------------------------------------------------- |
       1011011111000010011011101011001101000000011011111000001000101000000101000101101000010110011000100000011000101111010101011011100000000000 |
-     0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000           | 0
-      1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001          | 1
  --------------------------------------------------------------------------------------------------------------------------------------------- |
        111110000011110101110010000011101010110000010110000100010011010110110000110101010100101101101011110000001100010010000110010101000000000 |
-       1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001         | 1
  --------------------------------------------------------------------------------------------------------------------------------------------- |
          1100111110000110100101101110101011101001110010100110111000011101111100111001011111100010111100001001101000100110010000110001100000000 |
-        0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000        | 0
-         1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001       | 1
  --------------------------------------------------------------------------------------------------------------------------------------------- |
               10001011010010000010101111011111111101011101110010010101111001111111010011101010001001001110111110001101011010101011000101000000 |
-          0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000      | 0
-           0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000     | 0
-            0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000    | 0
-             0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000   | 0
-              1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001  | 1
  --------------------------------------------------------------------------------------------------------------------------------------------- |
                1000000100101001111110001101011111000111011100000011111010101010011100011011010100101110011100001101011001001111010011111010010 |
-               1100101111011100110101111011010000010110011001001000101010110010110011000011000010110011110101111110011001001101000101101001001 | 1
  --------------------------------------------------------------------------------------------------------------------------------------------- |
                 100101011110101001011110110001111010001000101001011010000011000101111011000010110011101101001110011000000000010010110010011011 |

cquotient = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111101101000011
cquotient = 0x0000000000000000000000000000000000000000000000000000000000007b43
cquotient = x14 + x13 + x12 + x11 + x9 + x8 + x6 + x + 1

cremainder = b0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100101011110101001011110110001111010001000101001011010000011000101111011000010110011101101001110011000000000010010110010011011
cremainder = 0x00000000000000000000000000000000257a97b1e88a5a0c5ec2ced398012c9b
cremainder = x125 + x122 + x120 + x118 + x117 + x116 + x115 + x113 + x111 + x108 + x106 + x105 + x104 + x103 + x101 + x100 + x96 + x95 + x94 + x93 + x91 + x87 + x83 + x81 + x78 + x76 + x75 + x73 + x67 + x66 + x62 + x60 + x59 + x58 + x57 + x55 + x54 + x49 + x47 + x46 + x43 + x42 + x41 + x39 + x38 + x36 + x33 + x32 + x31 + x28 + x27 + x16 + x13 + x11 + x10 + x7 + x4 + x3 + x + 1