84597 ÷ 5 = 16919 R2
Alright, let's work through the division of 84597 by 5 step by step.

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 (4) of the dividend behind the 3 and repeat the process: 34 / 5

Step 2:
5 goes into 34 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 30 from 34 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 5

Step 3:
5 goes into 45 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 169
Subtract 45 from 45 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 5

Step 4:
5 goes into 9 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1691
Subtract 5 from 9 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 5

Step 5:
5 goes into 47 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 16919
Subtract 45 from 47 to get 2.

The final result is 16919 with a remainder of 2.