35038 ÷ 4 = 8759 R2
Sure thing! Let's divide 35038 by 4 together.

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 (0) of the dividend behind the 3 and repeat the process: 30 / 4

Step 3:
4 goes into 30 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 87
Subtract 28 from 30 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: 875
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: 8759
Subtract 36 from 38 to get 2.

The final result is 8759 with a remainder of 2.