gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000
a = 0x00000000000000400000000000000000
a = x70

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

  10000000000000000000000000000000000000000000000000000000000000000000000 | 110011001110111111000100000000101000110010100001000111110110111
- 110011001110111111000100000000101000110010100001000111110110111         | 1
  ----------------------------------------------------------------------- |
   1001100111011111100010000000010100011001010000100011111011011100000000 |
-  110011001110111111000100000000101000110010100001000111110110111        | 1
  ----------------------------------------------------------------------- |
    101010100110000010011000000011110010101111000110010000110110010000000 |
-   110011001110111111000100000000101000110010100001000111110110111       | 1
  ----------------------------------------------------------------------- |
     11001101000111101011100000011011010011101100111010111000000101000000 |
-    110011001110111111000100000000101000110010100001000111110110111      | 1
  ----------------------------------------------------------------------- |
            1111100010111110000011001110000100110111110100111011110100000 |
-     000000000000000000000000000000000000000000000000000000000000000     | 0
-      000000000000000000000000000000000000000000000000000000000000000    | 0
-       000000000000000000000000000000000000000000000000000000000000000   | 0
-        000000000000000000000000000000000000000000000000000000000000000  | 0
-         000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111100000
cquotient = 0x000000000000000000000000000001e0
cquotient = x8 + x7 + x6 + x5

cremainder = b00000000000000000000000000000000000000000000000000000000000000000001111100010111110000011001110000100110111110100111011110100000
cremainder = 0x00000000000000001f17c19c26fa77a0
cremainder = x60 + x59 + x58 + x57 + x56 + x52 + x50 + x49 + x48 + x47 + x46 + x40 + x39 + x36 + x35 + x34 + x29 + x26 + x25 + x23 + x22 + x21 + x20 + x19 + x17 + x14 + x13 + x12 + x10 + x9 + x8 + x7 + x5