82566 ÷ 5 = 16513 R1
No problem, we've got 82566 and 5 for the division.

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 (2) of the dividend behind the 3 and repeat the process: 32 / 5

Step 2:
5 goes into 32 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 30 from 32 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: 165
Subtract 25 from 25 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: 1651
Subtract 5 from 6 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 5

Step 5:
5 goes into 16 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 16513
Subtract 15 from 16 to get 1.

The final result is 16513 with a remainder of 1.