gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
a = 0x00000000010000000000000000000000
a = x88

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

  10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 110011001110111111000100000000101000110010100001000111110110111
- 110011001110111111000100000000101000110010100001000111110110111                           | 1
  ----------------------------------------------------------------------------------------- |
   1001100111011111100010000000010100011001010000100011111011011100000000000000000000000000 |
-  110011001110111111000100000000101000110010100001000111110110111                          | 1
  ----------------------------------------------------------------------------------------- |
    101010100110000010011000000011110010101111000110010000110110010000000000000000000000000 |
-   110011001110111111000100000000101000110010100001000111110110111                         | 1
  ----------------------------------------------------------------------------------------- |
     11001101000111101011100000011011010011101100111010111000000101000000000000000000000000 |
-    110011001110111111000100000000101000110010100001000111110110111                        | 1
  ----------------------------------------------------------------------------------------- |
            1111100010111110000011001110000100110111110100111011110100000000000000000000000 |
-     000000000000000000000000000000000000000000000000000000000000000                       | 0
-      000000000000000000000000000000000000000000000000000000000000000                      | 0
-       000000000000000000000000000000000000000000000000000000000000000                     | 0
-        000000000000000000000000000000000000000000000000000000000000000                    | 0
-         000000000000000000000000000000000000000000000000000000000000000                   | 0
-          000000000000000000000000000000000000000000000000000000000000000                  | 0
-           110011001110111111000100000000101000110010100001000111110110111                 | 1
  ----------------------------------------------------------------------------------------- |
              11010001010001110010001110001110111011011100101010001001101110000000000000000 |
-            000000000000000000000000000000000000000000000000000000000000000                | 0
-             110011001110111111000100000000101000110010100001000111110110111               | 1
  ----------------------------------------------------------------------------------------- |
                 11101101010001110011110001100011000010110101110010110110101100000000000000 |
-              000000000000000000000000000000000000000000000000000000000000000              | 0
-               000000000000000000000000000000000000000000000000000000000000000             | 0
-                110011001110111111000100000000101000110010100001000111110110111            | 1
  ----------------------------------------------------------------------------------------- |
                   100001101010001111100001100001100001111111110110101001110111100000000000 |
-                 000000000000000000000000000000000000000000000000000000000000000           | 0
-                  110011001110111111000100000000101000110010100001000111110110111          | 1
  ----------------------------------------------------------------------------------------- |
                    10010100100110000100101100001001001001101010111101110000001011000000000 |
-                   110011001110111111000100000000101000110010100001000111110110111         | 1
  ----------------------------------------------------------------------------------------- |
                     1011000011101111000111100001011101010100000111001101111010000100000000 |
-                    110011001110111111000100000000101000110010100001000111110110111        | 1
  ----------------------------------------------------------------------------------------- |
                      111110000000000110110100001010111011000101111011100000111101010000000 |
-                     110011001110111111000100000000101000110010100001000111110110111       | 1
  ----------------------------------------------------------------------------------------- |
                        1101001110111001110000001010010011110111011010100111001011101000000 |
-                      000000000000000000000000000000000000000000000000000000000000000      | 0
-                       110011001110111111000100000000101000110010100001000111110110111     | 1
  ----------------------------------------------------------------------------------------- |
                           1111101010110000001001010011001111011110010110110110110000110000 |
-                        000000000000000000000000000000000000000000000000000000000000000    | 0
-                         000000000000000000000000000000000000000000000000000000000000000   | 0
-                          110011001110111111000100000000101000110010100001000111110110111  | 1
  ----------------------------------------------------------------------------------------- |
                             11011001011111111000010011000101010010111110100111001101011110 |
-                           000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111100000010100101111010010
cquotient = 0x00000000000000000000000007814bd2
cquotient = x26 + x25 + x24 + x23 + x16 + x14 + x11 + x9 + x8 + x7 + x6 + x4 + x

cremainder = b00000000000000000000000000000000000000000000000000000000000000000011011001011111111000010011000101010010111110100111001101011110
cremainder = 0x0000000000000000365fe13152fa735e
cremainder = x61 + x60 + x58 + x57 + x54 + x52 + x51 + x50 + x49 + x48 + x47 + x46 + x45 + x40 + x37 + x36 + x32 + x30 + x28 + x25 + x23 + x22 + x21 + x20 + x19 + x17 + x14 + x13 + x12 + x9 + x8 + x6 + x4 + x3 + x2 + x