96301 ÷ 4 = 24075 R1
Alright, let's work through the division of 96301 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 (3) of the dividend behind the 0 and repeat the process: 3 / 4

Step 3:
4 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 240
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 4

Step 4:
4 goes into 30 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 2407
Subtract 28 from 30 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 4

Step 5:
4 goes into 21 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 24075
Subtract 20 from 21 to get 1.

The final result is 24075 with a remainder of 1.