71089 ÷ 5 = 14217 R4
Let's divide 71089 by 5.

Step 1:
5 goes into 7 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 7 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 5

Step 2:
5 goes into 21 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 20 from 21 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 5

Step 3:
5 goes into 10 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 142
Subtract 10 from 10 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 5

Step 4:
5 goes into 8 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1421
Subtract 5 from 8 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: 14217
Subtract 35 from 39 to get 4.

The final result is 14217 with a remainder of 4.