35302 ÷ 4 = 8825 R2
Let's divide 35302 by 4.

Step 1:
4 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 4

Step 2:
4 goes into 35 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 32 from 35 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 4

Step 3:
4 goes into 33 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 88
Subtract 32 from 33 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 4

Step 4:
4 goes into 10 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 882
Subtract 8 from 10 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 4

Step 5:
4 goes into 22 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 8825
Subtract 20 from 22 to get 2.

The final result is 8825 with a remainder of 2.