65121 divided by 11 
We want to figure out the number of times 65121 can be divided by 11.

Advancing to step 1:
The number 11 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 11

Advancing to step 2:
11 can be fit into 65 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 55 from 65 and we're left with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 11

On to step 3:
The number 11 fits into 101 9 times, leaving a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
If we subtract 99 from 101, we get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 11

Advancing to step 4:
The number 11 fits into 22 2 times, leaving a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 592.0
Subtract 22 from 22 to get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 11

Going ahead to step 5:
The number 11 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 5920.0
Subtract 0 from 1 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.

Advancing to step 6:
When dividing 10 by 11, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 5920.0
Deduct 0 from 10 and we're left 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.

Step 7:
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: 5920.09
Deduct 99 from 100 and we're left 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 8:
When dividing 10 by 11, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 5920.09
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 9:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 5920.0909
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.

Going ahead to step 10:
When dividing 10 by 11, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 5920.0909
Deduct 0 from 10 and we're left 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 11:
100 divided by 11 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 5920.090909
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 12:
11 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 5920.090909
Subtract 0 from 10 to 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 13:
100 divided by 11 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 5920.09090909
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.

The final outcome is 5920.09090909, with a leftover of 1e-09.