gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000
a = 0x00000000000001000000000000000000
a = x72

b = b00000000000000000000000000000000000000000000000000000000000000001001101010111010011010001110111100001100111101011100001010111111
b = 0x00000000000000009aba68ef0cf5c2bf
b = x63 + x60 + x59 + x57 + x55 + x53 + x52 + x51 + x49 + x46 + x45 + x43 + x39 + x38 + x37 + x35 + x34 + x33 + x32 + x27 + x26 + x23 + x22 + x21 + x20 + x18 + x16 + x15 + x14 + x9 + x7 + x5 + x4 + x3 + x2 + x + 1

  1000000000000000000000000000000000000000000000000000000000000000000000000 | 1001101010111010011010001110111100001100111101011100001010111111
- 1001101010111010011010001110111100001100111101011100001010111111          | 1
  ------------------------------------------------------------------------- |
     1101010111010011010001110111100001100111101011100001010111111000000000 |
-  0000000000000000000000000000000000000000000000000000000000000000         | 0
-   0000000000000000000000000000000000000000000000000000000000000000        | 0
-    1001101010111010011010001110111100001100111101011100001010111111       | 1
  ------------------------------------------------------------------------- |
      100111101101001001011111001011101101011010110111101011101000111000000 |
-     1001101010111010011010001110111100001100111101011100001010111111      | 1
  ------------------------------------------------------------------------- |
           1000110100000110111110000011101101001000010011011000011000100000 |
-      0000000000000000000000000000000000000000000000000000000000000000     | 0
-       0000000000000000000000000000000000000000000000000000000000000000    | 0
-        0000000000000000000000000000000000000000000000000000000000000000   | 0
-         0000000000000000000000000000000000000000000000000000000000000000  | 0
-          1001101010111010011010001110111100001100111101011100001010111111 | 1
  ------------------------------------------------------------------------- |
              1011110111100100100001101010001000100101110000100010010011111 |

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001001100001
cquotient = 0x00000000000000000000000000000261
cquotient = x9 + x6 + x5 + 1

cremainder = b00000000000000000000000000000000000000000000000000000000000000000001011110111100100100001101010001000100101110000100010010011111
cremainder = 0x000000000000000017bc90d444b8449f
cremainder = x60 + x58 + x57 + x56 + x55 + x53 + x52 + x51 + x50 + x47 + x44 + x39 + x38 + x36 + x34 + x30 + x26 + x23 + x21 + x20 + x19 + x14 + x10 + x7 + x4 + x3 + x2 + x + 1