337601 ÷ 33 
We want to divide 337601 by 33.

Advancing to step 1:
3 divided by 33 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 33

On to step 2:
If we divide 33 by 33, we get 1 and a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 33 from 33 leaves us with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 33

Moving on to step 3:
33 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 7 to get 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 33

On to step 4:
76 divided by 33 is 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
If we subtract 66 from 76, we get 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 33

Going ahead to step 5:
If we divide 100 by 33, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 1023.0
Subtract 99 from 100 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 33

Advancing to step 6:
33 can be fit into 11 0 times, resulting in a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 10230.0
Subtract 0 from 11 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
110 divided by 33 is 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 10230.3
Deduct 99 from 110 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 8:
33 can be fit into 110 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 10230.33
Subtract 99 from 110 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 10230.33 with a balance of 0.011.