98597 ÷ 5 = 19719 R2
Alright, let's work through the division of 98597 by 5 step by step.

Step 1:
5 goes into 9 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 9 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 5

Step 2:
5 goes into 48 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 45 from 48 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: 197
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: 1971
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: 19719
Subtract 45 from 47 to get 2.

The final result is 19719 with a remainder of 2.