2529 ÷ 2 = 1264 R1
We're going to perform division on 2529 with 2 as the divisor.

Step 1:
2 goes into 2 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 2 from 2 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 2

Step 2:
2 goes into 5 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 4 from 5 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 2

Step 3:
2 goes into 12 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 126
Subtract 12 from 12 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 2

Step 4:
2 goes into 9 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 1264
Subtract 8 from 9 to get 1.

The final result is 1264 with a remainder of 1.