gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000000100000000010100000001010100010101000000010001010100000000000101010001010001010101000001
a = 0x00000000004014054540454005451541
a = x86 + x76 + x74 + x66 + x64 + x62 + x58 + x56 + x54 + x46 + x42 + x40 + x38 + x26 + x24 + x22 + x18 + x16 + x12 + x10 + x8 + x6 + 1

b = b00000000000000000000000000000000000000000000000001010100010001000000010100010101010001000101000001010100000001000001000000010001
b = 0x00000000000054440515445054041011
b = x78 + x76 + x74 + x70 + x66 + x58 + x56 + x52 + x50 + x48 + x46 + x42 + x38 + x36 + x30 + x28 + x26 + x18 + x12 + x4 + 1

  100000000010100000001010100010101000000010001010100000000000101010001010001010101000001 | 1010100010001000000010100010101010001000101000001010100000001000001000000010001
- 1010100010001000000010100010101010001000101000001010100000001000001000000010001         | 1
  --------------------------------------------------------------------------------------- |
    1010001010000000000000101000000000100000101010001010000000001010101010000010001000001 |
-  0000000000000000000000000000000000000000000000000000000000000000000000000000000        | 0
-   1010100010001000000010100010101010001000101000001010100000001000001000000010001       | 1
  --------------------------------------------------------------------------------------- |
        101000001000000010001010101010101000000010000000100000000010100010000000000000001 |
-    0000000000000000000000000000000000000000000000000000000000000000000000000000000      | 0
-     0000000000000000000000000000000000000000000000000000000000000000000000000000000     | 0
-      0000000000000000000000000000000000000000000000000000000000000000000000000000000    | 0
-       1010100010001000000010100010101010001000101000001010100000001000001000000010001   | 1
  --------------------------------------------------------------------------------------- |
            10000000100010000000100000000000100000100000001010000010000010100000001000101 |
-        0000000000000000000000000000000000000000000000000000000000000000000000000000000  | 0
-         0000000000000000000000000000000000000000000000000000000000000000000000000000000 | 0

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000100
cquotient = 0x00000000000000000000000000000144
cquotient = x8 + x6 + x2

cremainder = b00000000000000000000000000000000000000000000000000010000000100010000000100000000000100000100000001010000010000010100000001000101
cremainder = 0x00000000000010110100104050414045
cremainder = x76 + x68 + x64 + x56 + x44 + x38 + x30 + x28 + x22 + x16 + x14 + x6 + x2 + 1