gf(2) Polynomial long division

c = a/b

a = b0000000000000000000000000000000000000000000000000000000011000001
a = 0x00000000000000c1
a = x7 + x6 + 1

b = b0000000000000000000000000000000000001111010011001101011001101001
b = 0x000000000f4cd669
b = x27 + x26 + x25 + x24 + x22 + x19 + x18 + x15 + x14 + x12 + x10 + x9 + x6 + x5 + x3 + 1

  11000001 | 1111010011001101011001101001

cquotient = b0000000000000000000000000000000000000000000000000000000000000000
cquotient = 0x0000000000000000
cquotient = 0

cremainder = b0000000000000000000000000000000000000000000000000000000011000001
cremainder = 0x00000000000000c1
cremainder = x7 + x6 + 1