We're dividing 373335 by 34 
Let's see how many times 34 fits into 373335.

Going ahead to step 1:
If we divide 3 by 34, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 34

Advancing to step 2:
The number 34 fits into 37 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 34 from 37 and we're left with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 34

Let's proceed to step 3:
When dividing 33 by 34, we get 0 with a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 33 to get 33.
Take the next digit (3) from the dividend and append it to 33, then repeat: 333 / 34

On to step 4:
If we divide 333 by 34, we get 9 and a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
Deduct 306 from 333 and we're left with 27.
Grab the next digit (3) from the dividend, add it to 27, then carry on: 273 / 34

Let's proceed to step 5:
34 can be fit into 273 8 times, resulting in a remainder of 1.
The next digit of our result is 8. 
Result so far: 1098.0
The remainder is 1 after subtracting 272 from 273.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 34

Advancing to step 6:
If we divide 15 by 34, we get 0 and a remainder of 15.
The next digit of our result is 0. 
Result so far: 10980.0
Subtracting 0 from 15 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
150 divided by 34 is 4 with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 10980.4
If we take 136 away from 150, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
The number 34 fits into 140 4 times, leaving a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 10980.44
If we take 136 away from 140, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 10980.44 with a balance of 0.004.