117687 divided by 11 
Our goal is to divide 117687 by 11.

Let's proceed to step 1:
When dividing 1 by 11, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 11

Moving on to step 2:
When dividing 11 by 11, we get 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 11 from 11 and we're left with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 11

Going ahead to step 3:
When dividing 7 by 11, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 7 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 11

Step 4:
The number 11 fits into 76 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 106.0
Subtracting 66 from 76 leaves us with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 11

Step 5:
When dividing 108 by 11, we get 9 with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 1069.0
Deduct 99 from 108 and we're left with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 11

Going ahead to step 6:
The number 11 fits into 97 8 times, leaving a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 10698.0
If we take 88 away from 97, we end up 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.

Moving on to step 7:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 10698.8
Subtract 88 from 90 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.

Going ahead to step 8:
If we divide 20 by 11, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 10698.81
If we subtract 11 from 20, we 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.

Advancing to step 9:
90 divided by 11 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 10698.818
Deduct 88 from 90 and we're left 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.

Step 10:
The number 11 fits into 20 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 10698.8181
If we subtract 11 from 20, we 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.

On to step 11:
When dividing 90 by 11, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10698.81818
Deduct 88 from 90 and we're left 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.

Advancing to step 12:
20 divided by 11 is 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 10698.818181
Deduct 11 from 20 and we're left 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.

Let's proceed to step 13:
The number 11 fits into 90 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10698.8181818
Subtract 88 from 90 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.

Let's proceed to step 14:
11 can be fit into 20 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 10698.81818181
Deduct 11 from 20 and we're left 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.

Our division results in 10698.81818181 with a remaining 9e-09.