13068 ÷ 7 = 1866 R6
Alright, let's work through the division of 13068 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 (0) of the dividend behind the 6 and repeat the process: 60 / 7

Step 3:
7 goes into 60 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 18
Subtract 56 from 60 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 7

Step 4:
7 goes into 46 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 186
Subtract 42 from 46 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 7

Step 5:
7 goes into 48 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 1866
Subtract 42 from 48 to get 6.

The final result is 1866 with a remainder of 6.