We're dividing 338493 by 44 
We want to divide 338493 by 44.

Advancing to step 1:
3 divided by 44 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 44

Step 2:
44 goes into 33 0 times with a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Bring next digit (8) of the dividend behind the 33 and repeat the process: 338 / 44

Advancing to step 3:
The number 44 fits into 338 7 times, leaving a remainder of 30.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 308 away from 338, we end up with 30.
Fetch the next digit (4) from the dividend, attach it to 30 and continue: 304 / 44

Step 4:
304 divided by 44 is 6 with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
The remainder is 40 after subtracting 264 from 304.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 44

Moving on to step 5:
44 can be fit into 409 9 times, resulting in a remainder of 13.
The next digit of our result is 9. 
Result so far: 769.0
Subtract 396 from 409 to get 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 44

On to step 6:
The number 44 fits into 133 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 7693.0
Deduct 132 from 133 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
The number 44 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 7693.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
When dividing 100 by 44, we get 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 7693.02
If we take 88 away from 100, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
If we divide 120 by 44, we get 2 and a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 7693.022
Subtracting 88 from 120 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 7693.022 with a balance of 0.0032.