98596 ÷ 4 = 24649 R0
Alright, let's work through the division of 98596 by 4 step by step.

Step 1:
4 goes into 9 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 8 from 9 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 4

Step 2:
4 goes into 18 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 24
Subtract 16 from 18 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 4

Step 3:
4 goes into 25 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 246
Subtract 24 from 25 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 4

Step 4:
4 goes into 19 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 2464
Subtract 16 from 19 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 4

Step 5:
4 goes into 36 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 24649
Subtract 36 from 36 to get 0.

The final result is 24649 with a remainder of 0.