We divide 301369 by 17
We want to figure out the number of times 301369 can be divided by 17.

On to step 1:
17 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 17

Moving on to step 2:
17 goes into 30 1 times with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 13 after subtracting 17 from 30.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 17

Let's proceed to step 3:
The number 17 fits into 131 7 times, leaving a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we take 119 away from 131, we end up with 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 17

Going ahead to step 4:
The number 17 fits into 123 7 times, leaving a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 177.0
If we take 119 away from 123, we end up with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 17

Going ahead to step 5:
When dividing 46 by 17, we get 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 1772.0
The remainder is 12 after subtracting 34 from 46.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 17

On to step 6:
The number 17 fits into 129 7 times, leaving a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 17727.0
If we subtract 119 from 129, 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.

On to step 7:
17 can be fit into 100 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 17727.5
Subtracting 85 from 100 leaves us 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 8:
150 divided by 17 is 8 with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 17727.58
Subtracting 136 from 150 leaves us 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.

On to step 9:
17 goes into 140 8 times with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 17727.588
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 17727.588 with a remainder of 0.0004.