We look at the division of 81519 by 11 
We want to divide 81519 by 11.

Let's proceed to step 1:
When dividing 8 by 11, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 11

On to step 2:
81 divided by 11 is 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 77 from 81 to get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 11

On to step 3:
The number 11 fits into 45 4 times, leaving a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
If we subtract 44 from 45, we get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 11

Going ahead to step 4:
11 can be fit into 11 1 times, resulting in a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 741.0
The remainder is 0 after subtracting 11 from 11.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 11

Moving on to step 5:
11 can be fit into 9 0 times, resulting in a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 7410.0
If we subtract 0 from 9, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 6:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 7410.8
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 7410.81
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
If we divide 90 by 11, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 7410.818
Subtracting 88 from 90 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 7410.8181
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 10:
When dividing 90 by 11, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 7410.81818
Subtracting 88 from 90 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
20 divided by 11 is 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 7410.818181
Subtracting 11 from 20 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 12:
If we divide 90 by 11, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 7410.8181818
Subtracting 88 from 90 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
11 goes into 20 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 7410.81818181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 7410.81818181 with a remainder of 9e-09.