We're dividing 517084 by 87 
We want to figure out the number of times 517084 can be divided by 87.

Going ahead to step 1:
5 divided by 87 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 87

Advancing to step 2:
87 goes into 51 0 times with a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Append the next digit (7) from the dividend to 51 and continue with: 517 / 87

Advancing to step 3:
When dividing 517 by 87, we get 5 with a remainder of 82.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 435 away from 517, we end up with 82.
Include the next digit (0) from the dividend after 82, then repeat: 820 / 87

Going ahead to step 4:
820 divided by 87 is 9 with a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
Subtracting 783 from 820 leaves us with 37.
Take the next digit (8) from the dividend and append it to 37, then repeat: 378 / 87

Moving on to step 5:
378 divided by 87 is 4 with a remainder of 30.
Put 4 as the next digit of the answer. 
Result so far: 594.0
Subtract 348 from 378 to get 30.
Fetch the next digit (4) from the dividend, attach it to 30 and continue: 304 / 87

On to step 6:
87 can be fit into 304 3 times, resulting in a remainder of 43.
Put 3 as the next digit of the answer. 
Result so far: 5943.0
Deduct 261 from 304 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 7:
87 can be fit into 430 4 times, resulting in a remainder of 82.
The number 4 becomes the next digit in our result. 
Result so far: 5943.4
If we take 348 away from 430, we end up with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Advancing to step 8:
The number 87 fits into 820 9 times, leaving a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 5943.49
If we subtract 783 from 820, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 9:
87 can be fit into 370 4 times, resulting in a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 5943.494
If we subtract 348 from 370, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 10:
220 divided by 87 is 2 with a remainder of 46.
The number 2 becomes the next digit in our result. 
Result so far: 5943.4942
If we take 174 away from 220, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 11:
87 goes into 460 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5943.49425
If we subtract 435 from 460, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 12:
87 can be fit into 250 2 times, resulting in a remainder of 76.
Record the quotient 2 as the next digit in the result. 
Result so far: 5943.494252
Subtract 174 from 250 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 13:
The number 87 fits into 760 8 times, leaving a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 5943.4942528
Deduct 696 from 760 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 14:
87 can be fit into 640 7 times, resulting in a remainder of 31.
The next digit of our result is 7. 
Result so far: 5943.49425287
Subtract 609 from 640 to 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.

In conclusion, the division gives 5943.49425287 with a balance of 3.1e-08.