33506 ÷ 7 = 4786 R4
Alright, let's work through the division of 33506 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 (5) of the dividend behind the 5 and repeat the process: 55 / 7

Step 3:
7 goes into 55 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 47
Subtract 49 from 55 to get 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 7

Step 4:
7 goes into 60 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 478
Subtract 56 from 60 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 7

Step 5:
7 goes into 46 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 4786
Subtract 42 from 46 to get 4.

The final result is 4786 with a remainder of 4.