191090 ÷ 11 
We want to figure out the number of times 191090 can be divided by 11.

Step 1:
The number 11 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 11

On to step 2:
If we divide 19 by 11, we get 1 and a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 8 after subtracting 11 from 19.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 11

Advancing to step 3:
81 divided by 11 is 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Deduct 77 from 81 and we're left with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 11

On to step 4:
When dividing 40 by 11, we get 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 173.0
The remainder is 7 after subtracting 33 from 40.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 11

Going ahead to step 5:
11 goes into 79 7 times with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 1737.0
The remainder is 2 after subtracting 77 from 79.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 11

Advancing to step 6:
When dividing 20 by 11, we get 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 17371.0
Subtracting 11 from 20 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 7:
When dividing 90 by 11, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 17371.8
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 8:
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: 17371.81
Subtracting 11 from 20 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.

Going ahead to step 9:
If we divide 90 by 11, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 17371.818
If we take 88 away from 90, 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 10:
11 goes into 20 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 17371.8181
If we take 11 away from 20, 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.

Advancing to step 11:
When dividing 90 by 11, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 17371.81818
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:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 17371.818181
Subtracting 11 from 20 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.

On to step 13:
90 divided by 11 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 17371.8181818
If we take 88 away from 90, 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.

Let's proceed to step 14:
11 goes into 20 1 times with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 17371.81818181
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.

In conclusion, the division gives 17371.81818181 with a balance of 9e-09.