We're dividing 373941 by 38 
Our goal is to divide 373941 by 38.

Step 1:
3 divided by 38 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 38

Going ahead to step 2:
When dividing 37 by 38, we get 0 with a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Fetch the next digit (3) from the dividend, attach it to 37 and continue: 373 / 38

Step 3:
If we divide 373 by 38, we get 9 and a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 342 from 373 to get 31.
Fetch the next digit (9) from the dividend, attach it to 31 and continue: 319 / 38

Step 4:
38 goes into 319 8 times with a remainder of 15.
The next digit of our result is 8. 
Result so far: 98.0
Subtract 304 from 319 to get 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 38

Let's proceed to step 5:
If we divide 154 by 38, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 984.0
Subtracting 152 from 154 leaves us with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 38

On to step 6:
21 divided by 38 is 0 with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 9840.0
The remainder is 21 after subtracting 0 from 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
210 divided by 38 is 5 with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 9840.5
Deduct 190 from 210 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
38 can be fit into 200 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 9840.55
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 9840.55 with a balance of 0.01.