15121 divided by 11 
Our goal is to divide 15121 by 11.

Let's proceed to step 1:
If we divide 1 by 11, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 11

Advancing to step 2:
If we divide 15 by 11, we get 1 and a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 11 from 15 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 11

Going ahead to step 3:
When dividing 41 by 11, we get 3 with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtracting 33 from 41 leaves us with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 11

On to step 4:
11 can be fit into 82 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 137.0
Subtract 77 from 82 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 11

Let's proceed to step 5:
51 divided by 11 is 4 with a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 1374.0
If we take 44 away from 51, we end up 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.

Step 6:
When dividing 70 by 11, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 1374.6
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.

Going ahead to step 7:
40 divided by 11 is 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 1374.63
Subtracting 33 from 40 leaves us 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.

Advancing to step 8:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 1374.636
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.

Advancing to step 9:
11 goes into 40 3 times with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 1374.6363
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.

Let's proceed to step 10:
11 goes into 70 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 1374.63636
If we subtract 66 from 70, 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.

Moving on to step 11:
When dividing 40 by 11, we get 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 1374.636363
The remainder is 7 after subtracting 33 from 40.
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 12:
When dividing 70 by 11, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 1374.6363636
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.

Advancing to step 13:
11 goes into 40 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 1374.63636363
If we take 33 away from 40, we end up 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.

In conclusion, the division gives 1374.63636363 with a balance of 7e-09.