We look at the division of 586469 by 17 
Let's see how many times 17 fits into 586469.

Moving on 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
Subtracting 0 from 5 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 17

Step 2:
The number 17 fits into 58 3 times, leaving a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 51 from 58, we get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 17

Moving on to step 3:
The number 17 fits into 76 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 34.0
If we subtract 68 from 76, we get 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 17

Let's proceed to step 4:
17 can be fit into 84 4 times, resulting in a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 344.0
Subtract 68 from 84 to get 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 17

Step 5:
When dividing 166 by 17, we get 9 with a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 3449.0
If we subtract 153 from 166, we get 13.
Append the next digit (9) from the dividend to 13 and continue with: 139 / 17

Going ahead to step 6:
139 divided by 17 is 8 with a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 34498.0
Subtracting 136 from 139 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
The number 17 fits into 30 1 times, leaving a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 34498.1
Subtracting 17 from 30 leaves us 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.

Advancing to step 8:
If we divide 130 by 17, we get 7 and a remainder of 11.
The next digit of our result is 7. 
Result so far: 34498.17
Subtract 119 from 130 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
When dividing 110 by 17, we get 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 34498.176
The remainder is 8 after subtracting 102 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
The number 17 fits into 80 4 times, leaving a remainder of 12.
The next digit of our result is 4. 
Result so far: 34498.1764
If we subtract 68 from 80, we 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.

Let's proceed to step 11:
17 goes into 120 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 34498.17647
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.

Going ahead to step 12:
17 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 34498.17647
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.

Step 13:
The number 17 fits into 100 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 34498.1764705
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.

Advancing to step 14:
If we divide 150 by 17, we get 8 and a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 34498.17647058
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.

The final outcome is 34498.17647058, with a leftover of 1.4e-08.