We're dividing 584195 by 87 
We want to divide 584195 by 87.

Advancing to step 1:
If we divide 5 by 87, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 87

Advancing to step 2:
The number 87 fits into 58 0 times, leaving a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Take the next digit (4) from the dividend and append it to 58, then repeat: 584 / 87

Moving on to step 3:
When dividing 584 by 87, we get 6 with a remainder of 62.
The next digit of our result is 6. 
Result so far: 6.0
If we take 522 away from 584, we end up with 62.
Include the next digit (1) from the dividend after 62, then repeat: 621 / 87

Moving on to step 4:
87 goes into 621 7 times with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 67.0
Subtracting 609 from 621 leaves us with 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 87

On to step 5:
87 can be fit into 129 1 times, resulting in a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 671.0
Subtract 87 from 129 to get 42.
Include the next digit (5) from the dividend after 42, then repeat: 425 / 87

On to step 6:
87 can be fit into 425 4 times, resulting in a remainder of 77.
Write down 4 as next digit of the result. 
Result so far: 6714.0
Subtract 348 from 425 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 7:
The number 87 fits into 770 8 times, leaving a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 6714.8
Subtracting 696 from 770 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 8:
If we divide 740 by 87, we get 8 and a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 6714.88
If we take 696 away from 740, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

In conclusion, the division gives 6714.88 with a balance of 0.044.