We divide 559825 by 87
We want to figure out the number of times 559825 can be divided by 87.

Moving on to step 1:
5 divided by 87 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 87

Going ahead to step 2:
When dividing 55 by 87, we get 0 with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Include the next digit (9) from the dividend after 55, then repeat: 559 / 87

Step 3:
When dividing 559 by 87, we get 6 with a remainder of 37.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 522 from 559 to get 37.
Include the next digit (8) from the dividend after 37, then repeat: 378 / 87

Let's proceed to step 4:
If we divide 378 by 87, we get 4 and a remainder of 30.
The next digit of our result is 4. 
Result so far: 64.0
Deduct 348 from 378 and we're left with 30.
Include the next digit (2) from the dividend after 30, then repeat: 302 / 87

Let's proceed to step 5:
The number 87 fits into 302 3 times, leaving a remainder of 41.
Use 3 as the next digit of our solution. 
Result so far: 643.0
If we subtract 261 from 302, we get 41.
Fetch the next digit (5) from the dividend, attach it to 41 and continue: 415 / 87

Let's proceed to step 6:
415 divided by 87 is 4 with a remainder of 67.
Write down 4 as next digit of the result. 
Result so far: 6434.0
Subtract 348 from 415 to get 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 7:
670 divided by 87 is 7 with a remainder of 61.
Write down 7 as next digit of the result. 
Result so far: 6434.7
Subtract 609 from 670 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.

Moving on to step 8:
If we divide 610 by 87, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 6434.77
Subtract 609 from 610 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 6434.77 with a remaining 0.001.