89086 ÷ 7 = 12726 R4
Alright, let's work through the division of 89086 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 (9) of the dividend behind the 1 and repeat the process: 19 / 7

Step 2:
7 goes into 19 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 14 from 19 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 7

Step 3:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 127
Subtract 49 from 50 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 7

Step 4:
7 goes into 18 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 1272
Subtract 14 from 18 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 7

Step 5:
7 goes into 46 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 12726
Subtract 42 from 46 to get 4.

The final result is 12726 with a remainder of 4.