86223 ÷ 7 = 12317 R4
Alright, let's work through the division of 86223 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 (2) of the dividend behind the 2 and repeat the process: 22 / 7

Step 3:
7 goes into 22 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 123
Subtract 21 from 22 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 7

Step 4:
7 goes into 12 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1231
Subtract 7 from 12 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 7

Step 5:
7 goes into 53 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 12317
Subtract 49 from 53 to get 4.

The final result is 12317 with a remainder of 4.