5181 ÷ 2 = 2590 R1
We're going to perform division on 5181 with 2 as the divisor.

Step 1:
2 goes into 5 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 4 from 5 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 2

Step 2:
2 goes into 11 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 25
Subtract 10 from 11 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 2

Step 3:
2 goes into 18 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 259
Subtract 18 from 18 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 2

Step 4:
2 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 2590
Subtract 0 from 1 to get 1.

The final result is 2590 with a remainder of 1.