I keep getting 101 which is wrong. How do I do this problem then?
Exactly as you do decimal division: take the first three digits in the first number (110), then 101 fits once in it, so multiply 101 times 1, put below 110 and substract:
110

101

001
Next bring down the next digit, 0: as 0010=10 is less than the divisor 101, we put a zero besides the 1 in the quotient and bring down 1, and etc.
At the end you get 1010, which is correct: 110101 (53) divided by 101(5) equals 1010 (10) and gives a residue of 11 (3).
Tonio