gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00010000010101010001010101000101000001010001000100000000000001000001000100000100000001000101010101010001000100010100010100000100
a = 0x10551545051100041104045551114504
a = x124 + x118 + x116 + x114 + x112 + x108 + x106 + x104 + x102 + x98 + x96 + x90 + x88 + x84 + x80 + x66 + x60 + x56 + x50 + x42 + x38 + x36 + x34 + x32 + x30 + x28 + x24 + x20 + x16 + x14 + x10 + x8 + x2

b = b00000100000100000001010001000100000101010101010001000101010000010000000000000000010000000001010000010101010000010001010101010001
b = 0x04101444155445410000401415411551
b = x122 + x116 + x108 + x106 + x102 + x98 + x92 + x90 + x88 + x86 + x84 + x82 + x78 + x74 + x72 + x70 + x64 + x46 + x36 + x34 + x28 + x26 + x24 + x22 + x16 + x12 + x10 + x8 + x6 + x4 + 1

  10000010101010001010101000101000001010001000100000000000001000001000100000100000001000101010101010001000100010100010100000100 | 100000100000001010001000100000101010101010001000101010000010000000000000000010000000001010000010101010000010001010101010001
- 100000100000001010001000100000101010101010001000101010000010000000000000000010000000001010000010101010000010001010101010001   | 1
  ----------------------------------------------------------------------------------------------------------------------------- |
          101010100010001010101010100000100000000010101000000000001000100000101000001000000010100000100000101010001000001000000 |
-  000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000  | 0
-   000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100
cquotient = 0x00000000000000000000000000000004
cquotient = x2

cremainder = b00000000000101010100010001010101010100000100000000010101000000000001000100000101000001000000010100000100000101010001000001000000
cremainder = 0x00154455504015001105040504151040
cremainder = x116 + x114 + x112 + x110 + x106 + x102 + x100 + x98 + x96 + x94 + x92 + x86 + x76 + x74 + x72 + x60 + x56 + x50 + x48 + x42 + x34 + x32 + x26 + x20 + x18 + x16 + x12 + x6