261226 divided by 17 
We're looking to find how many times 17 goes into 261226.

Let's proceed to step 1:
The number 17 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 17

Let's proceed to step 2:
26 divided by 17 is 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 17 from 26 to get 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 17

On to step 3:
17 goes into 91 5 times with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtracting 85 from 91 leaves us with 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 17

Step 4:
The number 17 fits into 62 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 153.0
Subtracting 51 from 62 leaves us with 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 17

Let's proceed to step 5:
The number 17 fits into 112 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 1536.0
Deduct 102 from 112 and we're left with 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 17

Advancing to step 6:
106 divided by 17 is 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 15366.0
Subtracting 102 from 106 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.

Step 7:
If we divide 40 by 17, we get 2 and a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 15366.2
If we subtract 34 from 40, we 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.

Going ahead to step 8:
If we divide 60 by 17, we get 3 and a remainder of 9.
The next digit of our result is 3. 
Result so far: 15366.23
Subtract 51 from 60 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 9:
17 can be fit into 90 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 15366.235
Deduct 85 from 90 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
17 goes into 50 2 times with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 15366.2352
If we take 34 away from 50, we end up 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.

Advancing to step 11:
17 can be fit into 160 9 times, resulting in a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 15366.23529
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.

Advancing to step 12:
When dividing 70 by 17, we get 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 15366.235294
If we take 68 away from 70, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
When dividing 20 by 17, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 15366.2352941
The remainder is 3 after subtracting 17 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 14:
30 divided by 17 is 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 15366.23529411
If we take 17 away from 30, we end up 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.

Our division results in 15366.23529411 with a remaining 1.3e-08.