97587 ÷ 17 
We're looking to find how many times 17 goes into 97587.

Step 1:
The number 17 fits into 9 0 times, leaving a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 17

Moving on to step 2:
17 goes into 97 5 times with a remainder of 12.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 85 from 97, we get 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 17

On to step 3:
The number 17 fits into 125 7 times, leaving a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Subtracting 119 from 125 leaves us with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 17

Step 4:
68 divided by 17 is 4 with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 574.0
The remainder is 0 after subtracting 68 from 68.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 17

On to step 5:
17 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 5740.0
The remainder is 7 after subtracting 0 from 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 6:
If we divide 70 by 17, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 5740.4
The remainder is 2 after subtracting 68 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
17 can be fit into 20 1 times, resulting in a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 5740.41
The remainder is 3 after subtracting 17 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
30 divided by 17 is 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 5740.411
The remainder is 13 after subtracting 17 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 5740.411 with a remaining 0.0013.