33415 ÷ 7 = 4773 R4
Alright, let's work through the division of 33415 by 7 step by step.

Step 1:
7 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 (3) of the dividend behind the 3 and repeat the process: 33 / 7

Step 2:
7 goes into 33 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 28 from 33 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 7

Step 3:
7 goes into 54 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 47
Subtract 49 from 54 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 7

Step 4:
7 goes into 51 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 477
Subtract 49 from 51 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 7

Step 5:
7 goes into 25 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 4773
Subtract 21 from 25 to get 4.

The final result is 4773 with a remainder of 4.