354277 ÷ 33 
We're looking to find how many times 33 goes into 354277.

Step 1:
The number 33 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 33

Let's proceed to step 2:
33 can be fit into 35 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 33 from 35 and we're left with 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 33

Going ahead to step 3:
If we divide 24 by 33, we get 0 and a remainder of 24.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 24 after subtracting 0 from 24.
Grab the next digit (2) from the dividend, add it to 24, then carry on: 242 / 33

Going ahead to step 4:
When dividing 242 by 33, we get 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 107.0
Subtracting 231 from 242 leaves us with 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 33

Advancing to step 5:
117 divided by 33 is 3 with a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 1073.0
If we take 99 away from 117, we end up with 18.
Append the next digit (7) from the dividend to 18 and continue with: 187 / 33

Let's proceed to step 6:
If we divide 187 by 33, we get 5 and a remainder of 22.
Record the quotient 5 as the next digit in the result. 
Result so far: 10735.0
The remainder is 22 after subtracting 165 from 187.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 7:
When dividing 220 by 33, we get 6 with a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 10735.6
Subtract 198 from 220 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
33 can be fit into 220 6 times, resulting in a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 10735.66
Subtract 198 from 220 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The final outcome is 10735.66, with a leftover of 0.022.