Let's divide 19965 by 11
Our goal is to divide 19965 by 11.

On to step 1:
11 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 11

Let's proceed to step 2:
19 divided by 11 is 1 with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 11 from 19, we get 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 11

Advancing to step 3:
11 can be fit into 89 8 times, resulting in a remainder of 1.
The next digit of our result is 8. 
Result so far: 18.0
If we subtract 88 from 89, we get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 11

Let's proceed to step 4:
The number 11 fits into 16 1 times, leaving a remainder of 5.
The next digit of our result is 1. 
Result so far: 181.0
Subtract 11 from 16 to get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 11

Going ahead to step 5:
If we divide 55 by 11, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 1815.0
Subtracting 55 from 55 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 6:
11 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 1815.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
When dividing 0 by 11, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1815.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 1815.0 and a remainder of 0.0.