We're dividing 91414 by 11 
We're looking to find how many times 11 goes into 91414.

Let's proceed to step 1:
When dividing 9 by 11, we get 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 11

On to step 2:
11 goes into 91 8 times with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 88 from 91 and we're left with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 11

Going ahead to step 3:
The number 11 fits into 34 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 83.0
If we subtract 33 from 34, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 11

Advancing to step 4:
If we divide 11 by 11, we get 1 and a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 831.0
Deduct 11 from 11 and we're left with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 11

On to step 5:
When dividing 4 by 11, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 8310.0
If we subtract 0 from 4, we 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.

Advancing to step 6:
The number 11 fits into 40 3 times, leaving a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 8310.3
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
If we divide 70 by 11, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 8310.36
Subtracting 66 from 70 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.

On to step 8:
11 goes into 40 3 times with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 8310.363
Subtract 33 from 40 to get 7.
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 9:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 8310.3636
If we take 66 away from 70, we end up 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.

Let's proceed to step 10:
40 divided by 11 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 8310.36363
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
70 divided by 11 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 8310.363636
Deduct 66 from 70 and we're left 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 12:
The number 11 fits into 40 3 times, leaving a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 8310.3636363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 13:
11 goes into 70 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 8310.36363636
Subtract 66 from 70 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.

The final result is 8310.36363636 with a remainder of 4e-09.