83597 ÷ 5 = 16719 R2
Alright, let's work through the division of 83597 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 (3) of the dividend behind the 3 and repeat the process: 33 / 5

Step 2:
5 goes into 33 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 30 from 33 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: 167
Subtract 35 from 35 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: 1671
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: 16719
Subtract 45 from 47 to get 2.

The final result is 16719 with a remainder of 2.