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 = b00000000000000000000000000000000000000000000000000000000000000001101111001110000111011101111011111000001100011111011011110011011
b = 0x0000000000000000de70eef7c18fb79b
b = x63 + x62 + x60 + x59 + x58 + x57 + x54 + x53 + x52 + x47 + x46 + x45 + x43 + x42 + x41 + x39 + x38 + x37 + x36 + x34 + x33 + x32 + x31 + x30 + x24 + x23 + x19 + x18 + x17 + x16 + x15 + x13 + x12 + x10 + x9 + x8 + x7 + x4 + x3 + x + 1

  10000000000000000000000000000000000000000000000000000000000000000000000 | 1101111001110000111011101111011111000001100011111011011110011011
- 1101111001110000111011101111011111000001100011111011011110011011        | 1
  ----------------------------------------------------------------------- |
   1011110011100001110111011110111110000011000111110110111100110110000000 |
-  1101111001110000111011101111011111000001100011111011011110011011       | 1
  ----------------------------------------------------------------------- |
    110001010010001001100110001100001000010100100001101100010101101000000 |
-   1101111001110000111011101111011111000001100011111011011110011011      | 1
  ----------------------------------------------------------------------- |
       110110101001010001000110001110100010010101110000001101100000100000 |
-    0000000000000000000000000000000000000000000000000000000000000000     | 0
-     0000000000000000000000000000000000000000000000000000000000000000    | 0
-      1101111001110000111011101111011111000001100011111011011110011011   | 1
  ----------------------------------------------------------------------- |
            1001110010010101000110011011110010011111111100000011001001100 |
-       0000000000000000000000000000000000000000000000000000000000000000  | 0
-        0000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011100100
cquotient = 0x000000000000000000000000000000e4
cquotient = x7 + x6 + x5 + x2

cremainder = b00000000000000000000000000000000000000000000000000000000000000000001001110010010101000110011011110010011111111100000011001001100
cremainder = 0x00000000000000001392a33793fe064c
cremainder = x60 + x57 + x56 + x55 + x52 + x49 + x47 + x45 + x41 + x40 + x37 + x36 + x34 + x33 + x32 + x31 + x28 + x25 + x24 + x23 + x22 + x21 + x20 + x19 + x18 + x17 + x10 + x9 + x6 + x3 + x2