We look at the division of 269434 by 17 
We want to figure out the number of times 269434 can be divided by 17.

Going ahead to step 1:
When dividing 2 by 17, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 17

On to step 2:
If we divide 26 by 17, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 17 from 26 and we're left with 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 17

On to step 3:
17 goes into 99 5 times with a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Subtracting 85 from 99 leaves us with 14.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 17

Let's proceed to step 4:
17 can be fit into 144 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 158.0
If we subtract 136 from 144, we get 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 17

Let's proceed to step 5:
If we divide 83 by 17, we get 4 and a remainder of 15.
Put 4 as the next digit of the answer. 
Result so far: 1584.0
The remainder is 15 after subtracting 68 from 83.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 17

Going ahead to step 6:
When dividing 154 by 17, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 15849.0
Deduct 153 from 154 and we're left with 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 7:
If we divide 10 by 17, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 15849.0
If we take 0 away from 10, we end up with 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 8:
If we divide 100 by 17, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 15849.05
Deduct 85 from 100 and we're left 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.

On to step 9:
The number 17 fits into 150 8 times, leaving a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 15849.058
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.

On to step 10:
17 can be fit into 140 8 times, resulting in a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 15849.0588
Subtracting 136 from 140 leaves us 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.

The quotient of the division is 15849.0588, and the remainder is 4e-05.