28564 ÷ 5 = 5712 R4
Alright, let's work through the division of 28564 by 5 step by step.

Step 1:
5 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 5

Step 2:
5 goes into 28 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 25 from 28 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 5

Step 3:
5 goes into 35 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 57
Subtract 35 from 35 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 5

Step 4:
5 goes into 6 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 571
Subtract 5 from 6 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 5

Step 5:
5 goes into 14 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 5712
Subtract 10 from 14 to get 4.

The final result is 5712 with a remainder of 4.