13568 ÷ 7 = 1938 R2
Alright, let's work through the division of 13568 by 7 step by step.

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 (3) of the dividend behind the 1 and repeat the process: 13 / 7

Step 2:
7 goes into 13 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 13 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 7

Step 3:
7 goes into 65 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 63 from 65 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 7

Step 4:
7 goes into 26 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 193
Subtract 21 from 26 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 7

Step 5:
7 goes into 58 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 1938
Subtract 56 from 58 to get 2.

The final result is 1938 with a remainder of 2.