72717 ÷ 11 
We want to figure out the number of times 72717 can be divided by 11.

On to step 1:
7 divided by 11 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 11

On to step 2:
11 goes into 72 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 66 from 72 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 11

Step 3:
The number 11 fits into 67 6 times, leaving a remainder of 1.
The next digit of our result is 6. 
Result so far: 66.0
If we take 66 away from 67, we end up with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 11

Step 4:
11 divided by 11 is 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 661.0
If we take 11 away from 11, we end up with 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 11

Advancing to step 5:
11 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 6610.0
Deduct 0 from 7 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.

Going ahead to step 6:
70 divided by 11 is 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6610.6
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.

Going ahead to 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: 6610.63
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.

Moving on to step 8:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 6610.636
Subtract 66 from 70 to 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.

On to step 9:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 6610.6363
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.

Advancing to step 10:
11 can be fit into 70 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 6610.63636
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.

Step 11:
40 divided by 11 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 6610.636363
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.

Advancing to step 12:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 6610.6363636
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.

Moving on to step 13:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 6610.63636363
If we subtract 33 from 40, we 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.

The quotient of the division is 6610.63636363, and the remainder is 7e-09.