Let's divide 586587 by 17
Our goal is to divide 586587 by 17.

Advancing to step 1:
When dividing 5 by 17, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 17

Moving on to step 2:
If we divide 58 by 17, we get 3 and a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 51 from 58 to get 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 17

On to step 3:
If we divide 76 by 17, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 34.0
The remainder is 8 after subtracting 68 from 76.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 17

Moving on to step 4:
If we divide 85 by 17, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 345.0
Deduct 85 from 85 and we're left with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 17

Going ahead to step 5:
When dividing 8 by 17, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 3450.0
If we take 0 away from 8, we end up with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 17

Step 6:
87 divided by 17 is 5 with a remainder of 2.
The next digit of our result is 5. 
Result so far: 34505.0
If we take 85 away from 87, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
If we divide 20 by 17, we get 1 and a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 34505.1
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:
17 goes into 30 1 times with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 34505.11
Deduct 17 from 30 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 34505.11 and a remainder of 0.013.