gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000001111011000010111001101010010110110100100111010010010110110111000111001010101000000111001
a = 0x0000000000f617352da4e92db8e55039
a = 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

b = b00000000000000000000000000000000000000000110000111000100100010110010101100010100010010111101001001010011101110001011111100111100
b = 0x000000000061c48b2b144bd253b8bf3c
b = x86 + x85 + x80 + x79 + x78 + x74 + x71 + x67 + x65 + x64 + x61 + x59 + x57 + x56 + x52 + x50 + x46 + x43 + x41 + x40 + x39 + x38 + x36 + x33 + x30 + x28 + x25 + x24 + x23 + x21 + x20 + x19 + x15 + x13 + x12 + x11 + x10 + x9 + x8 + x5 + x4 + x3 + x2

  1111011000010111001101010010110110100100111010010010110110111000111001010101000000111001 | 110000111000100100010110010101100010100010010111101001001010011101110001011111100111100
- 110000111000100100010110010101100010100010010111101001001010011101110001011111100111100  | 1
  ---------------------------------------------------------------------------------------- |
    11010110011110001000110111101110001100011111101000100100011111100101000010111001000001 |
-  000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010
cquotient = 0x00000000000000000000000000000002
cquotient = x

cremainder = b00000000000000000000000000000000000000000011010110011110001000110111101110001100011111101000100100011111100101000010111001000001
cremainder = 0x0000000000359e237b8c7e891f942e41
cremainder = x85 + x84 + x82 + x80 + x79 + x76 + x75 + x74 + x73 + x69 + x65 + x64 + x62 + x61 + x60 + x59 + x57 + x56 + x55 + x51 + x50 + x46 + x45 + x44 + x43 + x42 + x41 + x39 + x35 + x32 + x28 + x27 + x26 + x25 + x24 + x23 + x20 + x18 + x13 + x11 + x10 + x9 + x6 + 1