559809 ÷ 87 
We want to divide 559809 by 87.

Going ahead to step 1:
87 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 87

On to step 2:
When dividing 55 by 87, we get 0 with a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Grab the next digit (9) from the dividend, add it to 55, then carry on: 559 / 87

Step 3:
559 divided by 87 is 6 with a remainder of 37.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 37 after subtracting 522 from 559.
Take the next digit (8) from the dividend and append it to 37, then repeat: 378 / 87

Going ahead to step 4:
87 goes into 378 4 times with a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
If we subtract 348 from 378, we get 30.
Fetch the next digit (0) from the dividend, attach it to 30 and continue: 300 / 87

Going ahead to step 5:
87 goes into 300 3 times with a remainder of 39.
The number 3 becomes the next digit in our result. 
Result so far: 643.0
Deduct 261 from 300 and we're left with 39.
Include the next digit (9) from the dividend after 39, then repeat: 399 / 87

Advancing to step 6:
399 divided by 87 is 4 with a remainder of 51.
The next digit of our result is 4. 
Result so far: 6434.0
Subtract 348 from 399 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 7:
The number 87 fits into 510 5 times, leaving a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 6434.5
Deduct 435 from 510 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 8:
87 can be fit into 750 8 times, resulting in a remainder of 54.
Write down 8 as next digit of the result. 
Result so far: 6434.58
Subtracting 696 from 750 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 9:
If we divide 540 by 87, we get 6 and a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 6434.586
Subtracting 522 from 540 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 10:
The number 87 fits into 180 2 times, leaving a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 6434.5862
Subtract 174 from 180 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
87 can be fit into 60 0 times, resulting in a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 6434.5862
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 12:
87 goes into 600 6 times with a remainder of 78.
The next digit of our result is 6. 
Result so far: 6434.586206
Deduct 522 from 600 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 13:
87 goes into 780 8 times with a remainder of 84.
The next digit of our result is 8. 
Result so far: 6434.5862068
Deduct 696 from 780 and we're left with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 14:
87 goes into 840 9 times with a remainder of 57.
Record the quotient 9 as the next digit in the result. 
Result so far: 6434.58620689
Subtract 783 from 840 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

After the division, we end up with 6434.58620689 and a remainder of 5.7e-08.