math - Find the remainder of this division with generator 10011 -

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i trying find value r (remainder) when generator g 10011, , value d (dividend) 0101101010. rewrite dividend (d) 0101101010 0000 since r = 4 if using crc. divider 10011. when set division, first digit of result (not remainder) 1, however, after first subtraction 1*10011, i'll 11000, still 5 digit binary. how supposed this?

i'm not quite sure think subtracting wrong position, need align first 1's of d , g, so:

01011010100000  10011 00010110100000    10011 00000101100000      10011 00000001010000        10011 00000000011100          10011 00000000001111  r=1111

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