52583 ÷ 5 = 10516 R3
Alright, let's work through the division of 52583 by 5 step by step.

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

Step 2:
5 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 2 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: 105
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: 1051
Subtract 5 from 8 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 5

Step 5:
5 goes into 33 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 10516
Subtract 30 from 33 to get 3.

The final result is 10516 with a remainder of 3.