gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000100110000000101000000101101011110101000010010000111011011011011110011100110111000111101011
a = 0x0000000002602816bd4243b6de7371eb
a = x89 + x86 + x85 + x77 + x75 + x68 + x66 + x65 + x63 + x61 + x60 + x59 + x58 + x56 + x54 + x49 + x46 + x41 + x40 + x39 + x37 + x36 + x34 + x33 + x31 + x30 + x28 + x27 + x26 + x25 + x22 + x21 + x20 + x17 + x16 + x14 + x13 + x12 + x8 + x7 + x6 + x5 + x3 + x + 1

b = b00000000000000000000000000000000000000011000110111101010111000010111000001011101100110011000100100100010011100100001111101001110
b = 0x00000000018deae1705d998922721f4e
b = x88 + x87 + x83 + x82 + x80 + x79 + x78 + x77 + x75 + x73 + x71 + x70 + x69 + x64 + x62 + x61 + x60 + x54 + x52 + x51 + x50 + x48 + x47 + x44 + x43 + x40 + x39 + x35 + x32 + x29 + x25 + x22 + x21 + x20 + x17 + x12 + x11 + x10 + x9 + x8 + x6 + x3 + x2 + x

  100110000000101000000101101011110101000010010000111011011011011110011100110111000111101011 | 11000110111101010111000010111000001011101100110011000100100100010011100100001111101001110
- 11000110111101010111000010111000001011101100110011000100100100010011100100001111101001110  | 1
  ------------------------------------------------------------------------------------------ |
   10111101111111101110101000101110111111001011100001010010010011010100101110100111101110111 |
-  11000110111101010111000010111000001011101100110011000100100100010011100100001111101001110 | 1
  ------------------------------------------------------------------------------------------ |
    1111011000010111001101010010110110100100111010010010110110111000111001010101000000111001 |

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011
cquotient = 0x00000000000000000000000000000003
cquotient = x + 1

cremainder = b00000000000000000000000000000000000000001111011000010111001101010010110110100100111010010010110110111000111001010101000000111001
cremainder = 0x0000000000f617352da4e92db8e55039
cremainder = x87 + x86 + x85 + x84 + x82 + x81 + x76 + x74 + x73 + x72 + x69 + x68 + x66 + x64 + x61 + x59 + x58 + x56 + x55 + x53 + x50 + x47 + x46 + x45 + x43 + x40 + x37 + x35 + x34 + x32 + x31 + x29 + x28 + x27 + x23 + x22 + x21 + x18 + x16 + x14 + x12 + x5 + x4 + x3 + 1