We divide 10198 by 11
Let's see how many times 11 fits into 10198.

Going ahead to step 1:
11 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 11

Let's proceed to step 2:
If we divide 10 by 11, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 11

On to step 3:
101 divided by 11 is 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 2 after subtracting 99 from 101.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 11

On to step 4:
29 divided by 11 is 2 with a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 92.0
If we subtract 22 from 29, we get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 11

Advancing to step 5:
11 goes into 78 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 927.0
Subtract 77 from 78 to get 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 6:
11 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 927.0
Subtracting 0 from 10 leaves us 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.

Moving on to step 7:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 927.09
Subtract 99 from 100 to get 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:
11 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 927.09
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
If we divide 100 by 11, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 927.0909
Subtracting 99 from 100 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 10:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 927.0909
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
11 can be fit into 100 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 927.090909
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 12:
11 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 927.090909
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
11 goes into 100 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 927.09090909
Subtracting 99 from 100 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.

The quotient of the division is 927.09090909, and the remainder is 1e-09.