We're dividing 8580 by 95 
We're looking to find how many times 95 goes into 8580.

On to step 1:
95 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 95

Step 2:
95 goes into 85 0 times with a remainder of 85.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 85, we end up with 85.
Include the next digit (8) from the dividend after 85, then repeat: 858 / 95

Step 3:
The number 95 fits into 858 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we take 855 away from 858, we end up with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 95

Step 4:
95 can be fit into 30 0 times, resulting in a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 90.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 5:
When dividing 300 by 95, we get 3 with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 90.3
Subtracting 285 from 300 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 6:
If we divide 150 by 95, we get 1 and a remainder of 55.
Record the quotient 1 as the next digit in the result. 
Result so far: 90.31
Subtracting 95 from 150 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 7:
The number 95 fits into 550 5 times, leaving a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 90.315
If we subtract 475 from 550, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 8:
If we divide 750 by 95, we get 7 and a remainder of 85.
Write down 7 as next digit of the result. 
Result so far: 90.3157
The remainder is 85 after subtracting 665 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Let's proceed to step 9:
When dividing 850 by 95, we get 8 with a remainder of 90.
Write down 8 as next digit of the result. 
Result so far: 90.31578
Subtract 760 from 850 to get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Going ahead to step 10:
900 divided by 95 is 9 with a remainder of 45.
Use 9 as the next digit of our solution. 
Result so far: 90.315789
If we take 855 away from 900, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 11:
If we divide 450 by 95, we get 4 and a remainder of 70.
The number 4 becomes the next digit in our result. 
Result so far: 90.3157894
The remainder is 70 after subtracting 380 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 12:
95 goes into 700 7 times with a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 90.31578947
The remainder is 35 after subtracting 665 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 90.31578947 and a remainder of 3.5e-08.