86507 ÷ 6 = 14417 R5
Alright, let's work through the division of 86507 by 6 step by step.

Step 1:
6 goes into 8 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 8 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 6

Step 2:
6 goes into 26 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 24 from 26 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 6

Step 3:
6 goes into 25 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 144
Subtract 24 from 25 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 6

Step 4:
6 goes into 10 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1441
Subtract 6 from 10 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 6

Step 5:
6 goes into 47 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 14417
Subtract 42 from 47 to get 5.

The final result is 14417 with a remainder of 5.