We look at the division of 264269 by 17 
We're looking to find how many times 17 goes into 264269.

Going ahead to step 1:
17 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 17

Going ahead to step 2:
17 goes into 26 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 17 from 26 to get 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 17

Let's proceed to step 3:
If we divide 94 by 17, we get 5 and a remainder of 9.
Write down 5 as next digit of the result. 
Result so far: 15.0
Subtracting 85 from 94 leaves us with 9.
Fetch the next digit (2) from the dividend, attach it to 9 and continue: 92 / 17

Step 4:
17 can be fit into 92 5 times, resulting in a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 155.0
The remainder is 7 after subtracting 85 from 92.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 17

Step 5:
The number 17 fits into 76 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 1554.0
If we take 68 away from 76, we end up with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 17

Moving on to step 6:
When dividing 89 by 17, we get 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 15545.0
Subtracting 85 from 89 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.

Moving on to step 7:
The number 17 fits into 40 2 times, leaving a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 15545.2
Subtract 34 from 40 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
The number 17 fits into 60 3 times, leaving a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 15545.23
Subtracting 51 from 60 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
90 divided by 17 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 15545.235
Subtract 85 from 90 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.

Advancing to step 10:
If we divide 50 by 17, we get 2 and a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 15545.2352
Subtracting 34 from 50 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
The number 17 fits into 160 9 times, leaving a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 15545.23529
The remainder is 7 after subtracting 153 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 12:
The number 17 fits into 70 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 15545.235294
Subtract 68 from 70 to 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 13:
The number 17 fits into 20 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 15545.2352941
Deduct 17 from 20 and we're left 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 14:
When dividing 30 by 17, we get 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 15545.23529411
Subtract 17 from 30 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 15545.23529411 and a remainder of 1.3e-08.