We divide 503719 by 15
Our goal is to divide 503719 by 15.

Advancing to step 1:
If we divide 5 by 15, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 15

Let's proceed to step 2:
15 goes into 50 3 times with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 45 from 50 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 15

Step 3:
When dividing 53 by 15, we get 3 with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 33.0
The remainder is 8 after subtracting 45 from 53.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 15

Going ahead to step 4:
If we divide 87 by 15, we get 5 and a remainder of 12.
The next digit of our result is 5. 
Result so far: 335.0
If we take 75 away from 87, we end up with 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 15

Let's proceed to step 5:
15 can be fit into 121 8 times, resulting in a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 3358.0
Subtract 120 from 121 to get 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 15

On to step 6:
When dividing 19 by 15, we get 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 33581.0
Deduct 15 from 19 and we're left 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.

Step 7:
The number 15 fits into 40 2 times, leaving a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 33581.2
Subtract 30 from 40 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.

Going ahead to step 8:
15 goes into 100 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 33581.26
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
15 can be fit into 100 6 times, resulting in a remainder of 10.
The next digit of our result is 6. 
Result so far: 33581.266
If we take 90 away from 100, we end up with 10.
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 33581.266 with a balance of 0.001.