17915 ÷ 11 
We want to figure out the number of times 17915 can be divided by 11.

Step 1:
When dividing 1 by 11, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 11

On to step 2:
11 goes into 17 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 6 after subtracting 11 from 17.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 11

Going ahead to step 3:
If we divide 69 by 11, we get 6 and a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Deduct 66 from 69 and we're left with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 11

Step 4:
31 divided by 11 is 2 with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 162.0
If we subtract 22 from 31, we get 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 11

Going ahead to step 5:
When dividing 95 by 11, we get 8 with a remainder of 7.
The next digit of our result is 8. 
Result so far: 1628.0
Deduct 88 from 95 and we're left 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.
The number 6 becomes the next digit in our result. 
Result so far: 1628.6
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 1628.63
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.

Advancing to step 8:
When dividing 70 by 11, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 1628.636
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
If we divide 40 by 11, we get 3 and a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 1628.6363
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.

Let's proceed to step 10:
70 divided by 11 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 1628.63636
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.

Advancing to step 11:
If we divide 40 by 11, we get 3 and a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 1628.636363
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.

Going ahead to step 12:
When dividing 70 by 11, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 1628.6363636
The remainder is 4 after subtracting 66 from 70.
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 13:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 1628.63636363
Deduct 33 from 40 and we're left 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.

After the division, we end up with 1628.63636363 and a remainder of 7e-09.