We're dividing 544303 by 34 
We're looking to find how many times 34 goes into 544303.

Going ahead to step 1:
34 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 34

Advancing to step 2:
The number 34 fits into 54 1 times, leaving a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 34 away from 54, we end up with 20.
Include the next digit (4) from the dividend after 20, then repeat: 204 / 34

Let's proceed to step 3:
204 divided by 34 is 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 16.0
Deduct 204 from 204 and we're left with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 34

Moving on to step 4:
The number 34 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 160.0
Subtract 0 from 3 to get 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 34

Moving on to step 5:
If we divide 30 by 34, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1600.0
The remainder is 30 after subtracting 0 from 30.
Bring next digit (3) of the dividend behind the 30 and repeat the process: 303 / 34

Moving on to step 6:
If we divide 303 by 34, we get 8 and a remainder of 31.
The number 8 becomes the next digit in our result. 
Result so far: 16008.0
If we subtract 272 from 303, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
The number 34 fits into 310 9 times, leaving a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 16008.9
If we take 306 away from 310, 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.

Moving on to step 8:
When dividing 40 by 34, we get 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 16008.91
The remainder is 6 after subtracting 34 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
The number 34 fits into 60 1 times, leaving a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 16008.911
Deduct 34 from 60 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 16008.911 with a balance of 0.0026.