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 = 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

  1000000000000000000000000000000000000000000000000000000000000000000000000 | 1101111001110000111011101111011111000001100011111011011110011011
- 1101111001110000111011101111011111000001100011111011011110011011          | 1
  ------------------------------------------------------------------------- |
   101111001110000111011101111011111000001100011111011011110011011000000000 |
-  1101111001110000111011101111011111000001100011111011011110011011         | 1
  ------------------------------------------------------------------------- |
    11000101001000100110011000110000100001010010000110110001010110100000000 |
-   1101111001110000111011101111011111000001100011111011011110011011        | 1
  ------------------------------------------------------------------------- |
       11011010100101000100011000111010001001010111000000110110000010000000 |
-    0000000000000000000000000000000000000000000000000000000000000000       | 0
-     0000000000000000000000000000000000000000000000000000000000000000      | 0
-      1101111001110000111011101111011111000001100011111011011110011011     | 1
  ------------------------------------------------------------------------- |
            100111001001010100011001101111001001111111110000001100100110000 |
-       0000000000000000000000000000000000000000000000000000000000000000    | 0
-        0000000000000000000000000000000000000000000000000000000000000000   | 0
-         0000000000000000000000000000000000000000000000000000000000000000  | 0
-          0000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001110010000
cquotient = 0x00000000000000000000000000000390
cquotient = x9 + x8 + x7 + x4

cremainder = b00000000000000000000000000000000000000000000000000000000000000000100111001001010100011001101111001001111111110000001100100110000
cremainder = 0x00000000000000004e4a8cde4ff81930
cremainder = x62 + x59 + x58 + x57 + x54 + x51 + x49 + x47 + x43 + x42 + x39 + x38 + x36 + x35 + x34 + x33 + x30 + x27 + x26 + x25 + x24 + x23 + x22 + x21 + x20 + x19 + x12 + x11 + x8 + x5 + x4