We look at the division of 784265 by 517 
Let's see how many times 517 fits into 784265.

Let's proceed to step 1:
When dividing 7 by 517, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 517

Going ahead to step 2:
78 divided by 517 is 0 with a remainder of 78.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 78, we get 78.
Bring next digit (4) of the dividend behind the 78 and repeat the process: 784 / 517

Going ahead to step 3:
When dividing 784 by 517, we get 1 with a remainder of 267.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 267 after subtracting 517 from 784.
Include the next digit (2) from the dividend after 267, then repeat: 2672 / 517

Let's proceed to step 4:
When dividing 2672 by 517, we get 5 with a remainder of 87.
The next digit of our result is 5. 
Result so far: 15.0
Deduct 2585 from 2672 and we're left with 87.
Include the next digit (6) from the dividend after 87, then repeat: 876 / 517

Going ahead to step 5:
When dividing 876 by 517, we get 1 with a remainder of 359.
Put 1 as the next digit of the answer. 
Result so far: 151.0
If we take 517 away from 876, we end up with 359.
Bring next digit (5) of the dividend behind the 359 and repeat the process: 3595 / 517

Let's proceed to step 6:
517 can be fit into 3595 6 times, resulting in a remainder of 493.
Use 6 as the next digit of our solution. 
Result so far: 1516.0
Subtracting 3102 from 3595 leaves us with 493.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4930, and continue the process.

Let's proceed to step 7:
4930 divided by 517 is 9 with a remainder of 277.
Put 9 as the next digit of the answer. 
Result so far: 1516.9
The remainder is 277 after subtracting 4653 from 4930.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2770, and continue the process.

Advancing to step 8:
2770 divided by 517 is 5 with a remainder of 185.
Write down 5 as next digit of the result. 
Result so far: 1516.95
If we take 2585 away from 2770, we end up with 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

On to step 9:
The number 517 fits into 1850 3 times, leaving a remainder of 299.
Put 3 as the next digit of the answer. 
Result so far: 1516.953
If we subtract 1551 from 1850, we get 299.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2990, and continue the process.

Advancing to step 10:
When dividing 2990 by 517, we get 5 with a remainder of 405.
The number 5 becomes the next digit in our result. 
Result so far: 1516.9535
Subtract 2585 from 2990 to get 405.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4050, and continue the process.

Advancing to step 11:
If we divide 4050 by 517, we get 7 and a remainder of 431.
Use 7 as the next digit of our solution. 
Result so far: 1516.95357
Deduct 3619 from 4050 and we're left with 431.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4310, and continue the process.

Advancing to step 12:
517 goes into 4310 8 times with a remainder of 174.
The next digit of our result is 8. 
Result so far: 1516.953578
Subtracting 4136 from 4310 leaves us with 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

Moving on to step 13:
517 goes into 1740 3 times with a remainder of 189.
Use 3 as the next digit of our solution. 
Result so far: 1516.9535783
Deduct 1551 from 1740 and we're left with 189.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1890, and continue the process.

Going ahead to step 14:
If we divide 1890 by 517, we get 3 and a remainder of 339.
The number 3 becomes the next digit in our result. 
Result so far: 1516.95357833
If we take 1551 away from 1890, we end up with 339.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3390, and continue the process.

In conclusion, the division gives 1516.95357833 with a balance of 3.39e-07.