12553 ÷ 7 = 1793 R2
We're going to perform division on 12553 with 7 as the divisor.

Step 1:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 7

Step 2:
7 goes into 12 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 12 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 7

Step 3:
7 goes into 55 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 49 from 55 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 7

Step 4:
7 goes into 65 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 179
Subtract 63 from 65 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 7

Step 5:
7 goes into 23 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 1793
Subtract 21 from 23 to get 2.

The final result is 1793 with a remainder of 2.