8191 ÷ 22 
We want to figure out the number of times 8191 can be divided by 22.

On to step 1:
If we divide 8 by 22, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 22

Advancing to step 2:
22 goes into 81 3 times with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 66 from 81, we get 15.
Fetch the next digit (9) from the dividend, attach it to 15 and continue: 159 / 22

On to step 3:
22 goes into 159 7 times with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 37.0
The remainder is 5 after subtracting 154 from 159.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 22

Step 4:
If we divide 51 by 22, we get 2 and a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 372.0
Subtract 44 from 51 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 5:
If we divide 70 by 22, we get 3 and a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 372.3
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 6:
If we divide 40 by 22, we get 1 and a remainder of 18.
The next digit of our result is 1. 
Result so far: 372.31
Subtract 22 from 40 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
If we divide 180 by 22, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 372.318
If we subtract 176 from 180, 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.

Let's proceed to step 8:
When dividing 40 by 22, we get 1 with a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 372.3181
The remainder is 18 after subtracting 22 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 9:
The number 22 fits into 180 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 372.31818
If we subtract 176 from 180, 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.

On to step 10:
The number 22 fits into 40 1 times, leaving a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 372.318181
Subtract 22 from 40 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
When dividing 180 by 22, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 372.3181818
Subtracting 176 from 180 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 12:
22 can be fit into 40 1 times, resulting in a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 372.31818181
If we subtract 22 from 40, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 372.31818181 with a remainder of 1.8e-08.