12589 ÷ 5 = 2517 R4
Let's divide 12589 by 5.

Step 1:
5 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 5

Step 2:
5 goes into 12 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 10 from 12 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 5

Step 3:
5 goes into 25 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 25
Subtract 25 from 25 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: 251
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: 2517
Subtract 35 from 39 to get 4.

The final result is 2517 with a remainder of 4.