12288 ÷ 7 = 1755 R3
We're going to perform division on 12288 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 (2) of the dividend behind the 5 and repeat the process: 52 / 7

Step 3:
7 goes into 52 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 49 from 52 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 7

Step 4:
7 goes into 38 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 175
Subtract 35 from 38 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 7

Step 5:
7 goes into 38 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 1755
Subtract 35 from 38 to get 3.

The final result is 1755 with a remainder of 3.