We're dividing 580561 by 17 
We want to figure out the number of times 580561 can be divided by 17.

Advancing to step 1:
The number 17 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 17

Going ahead to step 2:
17 goes into 58 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 7 after subtracting 51 from 58.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 17

Let's proceed to step 3:
17 can be fit into 70 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 34.0
If we subtract 68 from 70, we get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 17

Step 4:
The number 17 fits into 25 1 times, leaving a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 341.0
Subtract 17 from 25 to get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 17

Advancing to step 5:
The number 17 fits into 86 5 times, leaving a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 3415.0
The remainder is 1 after subtracting 85 from 86.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 17

On to step 6:
The number 17 fits into 11 0 times, leaving a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 34150.0
Subtracting 0 from 11 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
The number 17 fits into 110 6 times, leaving a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 34150.6
Deduct 102 from 110 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
When dividing 80 by 17, we get 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 34150.64
Subtract 68 from 80 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
If we divide 120 by 17, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 34150.647
If we subtract 119 from 120, we 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.

Step 10:
The number 17 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 34150.647
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
100 divided by 17 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 34150.64705
The remainder is 15 after subtracting 85 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 12:
The number 17 fits into 150 8 times, leaving a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 34150.647058
If we take 136 away from 150, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 13:
If we divide 140 by 17, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 34150.6470588
If we take 136 away from 140, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 34150.6470588 with a balance of 4e-08.