86889 ÷ 5 = 17377 R4
Let's divide 86889 by 5.

Step 1:
5 goes into 8 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 8 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 5

Step 2:
5 goes into 36 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 35 from 36 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 5

Step 3:
5 goes into 18 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 173
Subtract 15 from 18 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 5

Step 4:
5 goes into 38 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 1737
Subtract 35 from 38 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 5

Step 5:
5 goes into 39 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 17377
Subtract 35 from 39 to get 4.

The final result is 17377 with a remainder of 4.