86518 ÷ 7 = 12359 R5
Alright, let's work through the division of 86518 by 7 step by step.

Step 1:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 8 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 7

Step 2:
7 goes into 16 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 14 from 16 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 7

Step 3:
7 goes into 25 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 123
Subtract 21 from 25 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

Step 4:
7 goes into 41 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 1235
Subtract 35 from 41 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 7

Step 5:
7 goes into 68 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 12359
Subtract 63 from 68 to get 5.

The final result is 12359 with a remainder of 5.