86178 ÷ 7 = 12311 R1
Alright, let's work through the division of 86178 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 (1) of the dividend behind the 2 and repeat the process: 21 / 7

Step 3:
7 goes into 21 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 123
Subtract 21 from 21 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 7

Step 4:
7 goes into 7 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1231
Subtract 7 from 7 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 7

Step 5:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 12311
Subtract 7 from 8 to get 1.

The final result is 12311 with a remainder of 1.