506365 ÷ 17 
Let's see how many times 17 fits into 506365.

Going ahead 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
The remainder is 5 after subtracting 0 from 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 17

Going ahead to step 2:
When dividing 50 by 17, we get 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 34 away from 50, we end up with 16.
Grab the next digit (6) from the dividend, add it to 16, then carry on: 166 / 17

Advancing to step 3:
When dividing 166 by 17, we get 9 with a remainder of 13.
The next digit of our result is 9. 
Result so far: 29.0
Subtracting 153 from 166 leaves us with 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 17

Advancing to step 4:
The number 17 fits into 133 7 times, leaving a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 297.0
The remainder is 14 after subtracting 119 from 133.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 17

Going ahead to step 5:
The number 17 fits into 146 8 times, leaving a remainder of 10.
The next digit of our result is 8. 
Result so far: 2978.0
If we take 136 away from 146, we end up with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 17

Going ahead to step 6:
17 can be fit into 105 6 times, resulting in a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 29786.0
If we subtract 102 from 105, we get 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:
17 can be fit into 30 1 times, resulting in a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 29786.1
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.

Going ahead to step 8:
130 divided by 17 is 7 with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 29786.17
If we take 119 away from 130, we end up 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.

Step 9:
The number 17 fits into 110 6 times, leaving a remainder of 8.
The next digit of our result is 6. 
Result so far: 29786.176
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.

On to step 10:
17 goes into 80 4 times with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 29786.1764
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.

Going ahead to step 11:
120 divided by 17 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 29786.17647
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.

On to step 12:
17 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 29786.17647
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
The number 17 fits into 100 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 29786.1764705
If we take 85 away from 100, we end up 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.

Going ahead to step 14:
The number 17 fits into 150 8 times, leaving a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 29786.17647058
Subtract 136 from 150 to get 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 result is 29786.17647058 with a remainder of 1.4e-08.