We look at the division of 299409 by 17 
We want to figure out the number of times 299409 can be divided by 17.

Step 1:
17 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 17

Let's proceed to step 2:
17 goes into 29 1 times with a remainder of 12.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 17 from 29 leaves us with 12.
Include the next digit (9) from the dividend after 12, then repeat: 129 / 17

Step 3:
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: 17.0
The remainder is 10 after subtracting 119 from 129.
Take the next digit (4) from the dividend and append it to 10, then repeat: 104 / 17

Going ahead to step 4:
If we divide 104 by 17, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 176.0
Subtracting 102 from 104 leaves us with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 17

Step 5:
The number 17 fits into 20 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1761.0
If we subtract 17 from 20, we get 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 17

Step 6:
The number 17 fits into 39 2 times, leaving a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 17612.0
Subtract 34 from 39 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
17 goes into 50 2 times with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 17612.2
Subtract 34 from 50 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
17 goes into 160 9 times with a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 17612.29
Subtracting 153 from 160 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 9:
70 divided by 17 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 17612.294
If we subtract 68 from 70, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
When dividing 20 by 17, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 17612.2941
If we take 17 away from 20, we end up 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.

Step 11:
When dividing 30 by 17, we get 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 17612.29411
The remainder is 13 after subtracting 17 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 17612.29411, and the remainder is 1.3e-05.