We look at the division of 510769 by 87 
We want to figure out the number of times 510769 can be divided by 87.

Going ahead to step 1:
When dividing 5 by 87, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 87

Advancing to step 2:
87 goes into 51 0 times with a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Take the next digit (0) from the dividend and append it to 51, then repeat: 510 / 87

Advancing to step 3:
87 can be fit into 510 5 times, resulting in a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 435 away from 510, we end up with 75.
Include the next digit (7) from the dividend after 75, then repeat: 757 / 87

Going ahead to step 4:
87 goes into 757 8 times with a remainder of 61.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
The remainder is 61 after subtracting 696 from 757.
Bring next digit (6) of the dividend behind the 61 and repeat the process: 616 / 87

Step 5:
When dividing 616 by 87, we get 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 587.0
Subtract 609 from 616 to get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 87

Let's proceed to step 6:
87 goes into 79 0 times with a remainder of 79.
The next digit of our result is 0. 
Result so far: 5870.0
Deduct 0 from 79 and we're left with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Going ahead to step 7:
87 goes into 790 9 times with a remainder of 7.
The next digit of our result is 9. 
Result so far: 5870.9
Subtracting 783 from 790 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 8:
If we divide 70 by 87, we get 0 and a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 5870.9
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 9:
700 divided by 87 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 5870.908
Deduct 696 from 700 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.

On to step 10:
If we divide 40 by 87, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 5870.908
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 11:
The number 87 fits into 400 4 times, leaving a remainder of 52.
Record the quotient 4 as the next digit in the result. 
Result so far: 5870.90804
Subtracting 348 from 400 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 12:
The number 87 fits into 520 5 times, leaving a remainder of 85.
Record the quotient 5 as the next digit in the result. 
Result so far: 5870.908045
The remainder is 85 after subtracting 435 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

On to step 13:
850 divided by 87 is 9 with a remainder of 67.
The next digit of our result is 9. 
Result so far: 5870.9080459
Subtracting 783 from 850 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 14:
The number 87 fits into 670 7 times, leaving a remainder of 61.
The next digit of our result is 7. 
Result so far: 5870.90804597
Deduct 609 from 670 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Our division results in 5870.90804597 with a remaining 6.1e-08.