We divide 510577 by 87
Our goal is to divide 510577 by 87.

Step 1:
If we divide 5 by 87, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 87

On to step 2:
87 can be fit into 51 0 times, resulting in a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Bring next digit (0) of the dividend behind the 51 and repeat the process: 510 / 87

On to step 3:
When dividing 510 by 87, we get 5 with a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 435 away from 510, we end up with 75.
Fetch the next digit (5) from the dividend, attach it to 75 and continue: 755 / 87

Let's proceed to step 4:
87 can be fit into 755 8 times, resulting in a remainder of 59.
Use 8 as the next digit of our solution. 
Result so far: 58.0
Subtracting 696 from 755 leaves us with 59.
Take the next digit (7) from the dividend and append it to 59, then repeat: 597 / 87

Moving on to step 5:
87 goes into 597 6 times with a remainder of 75.
The next digit of our result is 6. 
Result so far: 586.0
Deduct 522 from 597 and we're left with 75.
Include the next digit (7) from the dividend after 75, then repeat: 757 / 87

On to step 6:
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: 5868.0
Subtract 696 from 757 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 7:
87 goes into 610 7 times with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 5868.7
Subtracting 609 from 610 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
10 divided by 87 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 5868.7
If we subtract 0 from 10, we 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.

On to step 9:
When dividing 100 by 87, we get 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 5868.701
Subtracting 87 from 100 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 10:
The number 87 fits into 130 1 times, leaving a remainder of 43.
Put 1 as the next digit of the answer. 
Result so far: 5868.7011
Deduct 87 from 130 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.

The quotient of the division is 5868.7011, and the remainder is 0.00043.