gf(2) mod

c = a % b

Calculate c = a/b, result is cremainder

gf(2) Polynomial long division

c = a/b

a = b00000000000000000000000000000000000000000000000000000000000000000000000101010101000000010001000101000001010100000101010100000101
a = 0x00000000000000000155011141505505
a = x56 + x54 + x52 + x50 + x48 + x40 + x36 + x32 + x30 + x24 + x22 + x20 + x14 + x12 + x10 + x8 + x2 + 1

b = b00000000000000000000000000000000000000000000000000000000000000000000000000000001000101010000010100000001000100000101000100000000
b = 0x00000000000000000001150501105100
b = x48 + x44 + x42 + x40 + x34 + x32 + x24 + x20 + x14 + x12 + x8

  101010101000000010001000101000001010100000101010100000101 | 1000101010000010100000001000100000101000100000000
- 1000101010000010100000001000100000101000100000000         | 1
  --------------------------------------------------------- |
    1000000000001000001000001010001000000010101010100000101 |
-  0000000000000000000000000000000000000000000000000        | 0
-   1000101010000010100000001000100000101000100000000       | 1
  --------------------------------------------------------- |
        101010001010101000000010101000101010001010100000101 |
-    0000000000000000000000000000000000000000000000000      | 0
-     0000000000000000000000000000000000000000000000000     | 0
-      0000000000000000000000000000000000000000000000000    | 0
-       1000101010000010100000001000100000101000100000000   | 1
  --------------------------------------------------------- |
          1000100010100010000010001010101000101000100000101 |
-        0000000000000000000000000000000000000000000000000  | 0
-         1000101010000010100000001000100000101000100000000 | 1
  --------------------------------------------------------- |
                1000100000100010000010001000000000000000101 |

cquotient = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000101
cquotient = 0x00000000000000000000000000000145
cquotient = x8 + x6 + x2 + 1

cremainder = b00000000000000000000000000000000000000000000000000000000000000000000000000000000000001000100000100010000010001000000000000000101
cremainder = 0x00000000000000000000044110440005
cremainder = x42 + x38 + x32 + x28 + x22 + x18 + x2 + 1