We're dividing 34373549 by 503 
Our goal is to divide 34373549 by 503.

Advancing to step 1:
The number 503 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 503

Step 2:
503 goes into 34 0 times with a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Bring next digit (3) of the dividend behind the 34 and repeat the process: 343 / 503

Moving on to step 3:
503 can be fit into 343 0 times, resulting in a remainder of 343.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 343 after subtracting 0 from 343.
Include the next digit (7) from the dividend after 343, then repeat: 3437 / 503

Step 4:
503 goes into 3437 6 times with a remainder of 419.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 3018 from 3437 to get 419.
Grab the next digit (3) from the dividend, add it to 419, then carry on: 4193 / 503

Moving on to step 5:
4193 divided by 503 is 8 with a remainder of 169.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
Deduct 4024 from 4193 and we're left with 169.
Bring next digit (5) of the dividend behind the 169 and repeat the process: 1695 / 503

Moving on to step 6:
If we divide 1695 by 503, we get 3 and a remainder of 186.
The next digit of our result is 3. 
Result so far: 683.0
Subtracting 1509 from 1695 leaves us with 186.
Include the next digit (4) from the dividend after 186, then repeat: 1864 / 503

Let's proceed to step 7:
The number 503 fits into 1864 3 times, leaving a remainder of 355.
Put 3 as the next digit of the answer. 
Result so far: 6833.0
Subtract 1509 from 1864 to get 355.
Bring next digit (9) of the dividend behind the 355 and repeat the process: 3559 / 503

On to step 8:
If we divide 3559 by 503, we get 7 and a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 68337.0
Deduct 3521 from 3559 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 9:
When dividing 380 by 503, we get 0 with a remainder of 380.
The number 0 becomes the next digit in our result. 
Result so far: 68337.0
The remainder is 380 after subtracting 0 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Let's proceed to step 10:
3800 divided by 503 is 7 with a remainder of 279.
Write down 7 as next digit of the result. 
Result so far: 68337.07
If we take 3521 away from 3800, we end up with 279.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2790, and continue the process.

Let's proceed to step 11:
The number 503 fits into 2790 5 times, leaving a remainder of 275.
Write down 5 as next digit of the result. 
Result so far: 68337.075
The remainder is 275 after subtracting 2515 from 2790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

Let's proceed to step 12:
When dividing 2750 by 503, we get 5 with a remainder of 235.
The number 5 becomes the next digit in our result. 
Result so far: 68337.0755
Subtract 2515 from 2750 to get 235.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2350, and continue the process.

In conclusion, the division gives 68337.0755 with a balance of 0.00235.