117261 divided by 17 
Our goal is to divide 117261 by 17.

Let's proceed to step 1:
If we divide 1 by 17, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 17

Going ahead to step 2:
17 can be fit into 11 0 times, resulting in a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 17

Moving on to step 3:
If we divide 117 by 17, we get 6 and a remainder of 15.
The next digit of our result is 6. 
Result so far: 6.0
If we take 102 away from 117, we end up with 15.
Include the next digit (2) from the dividend after 15, then repeat: 152 / 17

Step 4:
17 can be fit into 152 8 times, resulting in a remainder of 16.
The next digit of our result is 8. 
Result so far: 68.0
If we subtract 136 from 152, we get 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 17

Going ahead to step 5:
The number 17 fits into 166 9 times, leaving a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 689.0
If we take 153 away from 166, we end up with 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 17

Moving on to step 6:
17 can be fit into 131 7 times, resulting in a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 6897.0
Subtracting 119 from 131 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
17 can be fit into 120 7 times, resulting in a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 6897.7
Subtracting 119 from 120 leaves us 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.

Moving on to step 8:
The number 17 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 6897.7
Deduct 0 from 10 and we're left 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.

Let's proceed to step 9:
100 divided by 17 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 6897.705
The remainder is 15 after subtracting 85 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 10:
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: 6897.7058
Subtract 136 from 150 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 11:
When dividing 140 by 17, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 6897.70588
Subtract 136 from 140 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 6897.70588 with a balance of 4e-06.