33876 ÷ 5 = 6775 R1
Alright, let's work through the division of 33876 by 5 step by step.

Step 1:
5 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 / 5

Step 2:
5 goes into 33 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 30 from 33 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 5

Step 3:
5 goes into 38 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 67
Subtract 35 from 38 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 5

Step 4:
5 goes into 37 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 677
Subtract 35 from 37 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 5

Step 5:
5 goes into 26 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 6775
Subtract 25 from 26 to get 1.

The final result is 6775 with a remainder of 1.