3455 ÷ 2 = 1727 R1
Alright, let's work through the division of 3455 by 2 step by step.

Step 1:
2 goes into 3 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 2 from 3 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 2

Step 2:
2 goes into 14 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 14 from 14 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 2

Step 3:
2 goes into 5 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 172
Subtract 4 from 5 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 2

Step 4:
2 goes into 15 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 1727
Subtract 14 from 15 to get 1.

The final result is 1727 with a remainder of 1.