We're dividing 33876 by 90 
We're looking to find how many times 90 goes into 33876.

Advancing to step 1:
3 divided by 90 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 90

Going ahead to step 2:
90 can be fit into 33 0 times, resulting in a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Fetch the next digit (8) from the dividend, attach it to 33 and continue: 338 / 90

Advancing to step 3:
90 can be fit into 338 3 times, resulting in a remainder of 68.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 270 from 338 to get 68.
Grab the next digit (7) from the dividend, add it to 68, then carry on: 687 / 90

Step 4:
If we divide 687 by 90, we get 7 and a remainder of 57.
Put 7 as the next digit of the answer. 
Result so far: 37.0
Deduct 630 from 687 and we're left with 57.
Append the next digit (6) from the dividend to 57 and continue with: 576 / 90

On to step 5:
90 can be fit into 576 6 times, resulting in a remainder of 36.
The next digit of our result is 6. 
Result so far: 376.0
Deduct 540 from 576 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 6:
90 can be fit into 360 4 times, resulting in a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 376.4
Deduct 360 from 360 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
If we divide 0 by 90, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 376.4
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
90 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 376.4
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 376.4 with a remainder of 0.0.