33870 ÷ 8 = 4233 R6
Alright, let's work through the division of 33870 by 8 step by step.

Step 1:
8 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 / 8

Step 2:
8 goes into 33 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 32 from 33 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 8

Step 3:
8 goes into 18 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 42
Subtract 16 from 18 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 8

Step 4:
8 goes into 27 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 423
Subtract 24 from 27 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 8

Step 5:
8 goes into 30 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 4233
Subtract 24 from 30 to get 6.

The final result is 4233 with a remainder of 6.