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 = 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

  10000000000000000000000000000000000000000000000000000000000000000000000 | 1001101010111010011010001110111100001100111101011100001010111111
- 1001101010111010011010001110111100001100111101011100001010111111        | 1
  ----------------------------------------------------------------------- |
     11010101110100110100011101111000011001111010111000010101111110000000 |
-  0000000000000000000000000000000000000000000000000000000000000000       | 0
-   0000000000000000000000000000000000000000000000000000000000000000      | 0
-    1001101010111010011010001110111100001100111101011100001010111111     | 1
  ----------------------------------------------------------------------- |
      1001111011010010010111110010111011010110101101111010111010001110000 |
-     1001101010111010011010001110111100001100111101011100001010111111    | 1
  ----------------------------------------------------------------------- |
           10001101000001101111100000111011010010000100110110000110001000 |
-      0000000000000000000000000000000000000000000000000000000000000000   | 0
-       0000000000000000000000000000000000000000000000000000000000000000  | 0
-        0000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010011000
cquotient = 0x00000000000000000000000000000098
cquotient = x7 + x4 + x3

cremainder = b00000000000000000000000000000000000000000000000000000000000000000010001101000001101111100000111011010010000100110110000110001000
cremainder = 0x00000000000000002341be0ed2136188
cremainder = x61 + x57 + x56 + x54 + x48 + x47 + x45 + x44 + x43 + x42 + x41 + x35 + x34 + x33 + x31 + x30 + x28 + x25 + x20 + x17 + x16 + x14 + x13 + x8 + x7 + x3