gf(2) Polynomial long division

c = a/b

a = b0000000000000000111101111101100100100100100111111111001100111111
a = 0x0000f7d9249ff33f
a = x47 + x46 + x45 + x44 + x42 + x41 + x40 + x39 + x38 + x36 + x35 + x32 + x29 + x26 + x23 + x20 + x19 + x18 + x17 + x16 + x15 + x14 + x13 + x12 + x9 + x8 + x5 + x4 + x3 + x2 + x + 1

b = b0000000000000000000000010100100111000001011100101001001101111111
b = 0x00000149c172937f
b = x40 + x38 + x35 + x32 + x31 + x30 + x24 + x22 + x21 + x20 + x17 + x15 + x12 + x9 + x8 + x6 + x5 + x4 + x3 + x2 + x + 1

  111101111101100100100100100111111111001100111111 | 10100100111000001011100101001001101111111
- 10100100111000001011100101001001101111111        | 1
  ------------------------------------------------ |
   10100110011100110011101110101100100110010111111 |
-  10100100111000001011100101001001101111111       | 1
  ------------------------------------------------ |
         10100100111000001011100101001001101111111 |
-   00000000000000000000000000000000000000000      | 0
-    00000000000000000000000000000000000000000     | 0
-     00000000000000000000000000000000000000000    | 0
-      00000000000000000000000000000000000000000   | 0
-       00000000000000000000000000000000000000000  | 0
-        10100100111000001011100101001001101111111 | 1
  ------------------------------------------------ |
                                                 0 |

cquotient = b0000000000000000000000000000000000000000000000000000000011000001
cquotient = 0x00000000000000c1
cquotient = x7 + x6 + 1

cremainder = b0000000000000000000000000000000000000000000000000000000000000000
cremainder = 0x0000000000000000
cremainder = 0