96238 ÷ 4 = 24059 R2
Alright, let's work through the division of 96238 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 (6) of the dividend behind the 1 and repeat the process: 16 / 4

Step 2:
4 goes into 16 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 24
Subtract 16 from 16 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 4

Step 3:
4 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 240
Subtract 0 from 2 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 4

Step 4:
4 goes into 23 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 2405
Subtract 20 from 23 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 4

Step 5:
4 goes into 38 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 24059
Subtract 36 from 38 to get 2.

The final result is 24059 with a remainder of 2.