Let's divide 77727 by 11
We want to figure out the number of times 77727 can be divided by 11.

On to step 1:
The number 11 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 11

Going ahead to step 2:
11 can be fit into 77 7 times, resulting in a remainder of 0.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 77 from 77, we get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 11

Let's proceed to step 3:
The number 11 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 70.0
Subtract 0 from 7 to get 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 11

On to step 4:
11 can be fit into 72 6 times, resulting in a remainder of 6.
The next digit of our result is 6. 
Result so far: 706.0
Subtract 66 from 72 to get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 11

Step 5:
67 divided by 11 is 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 7066.0
Subtract 66 from 67 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.

On to step 6:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 7066.0
Subtracting 0 from 10 leaves us 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.

Advancing to step 7:
If we divide 100 by 11, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 7066.09
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.

Let's proceed to step 8:
If we divide 10 by 11, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 7066.09
If we subtract 0 from 10, we 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 9:
11 can be fit into 100 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 7066.0909
If we take 99 away from 100, we end up 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.
Put 0 as the next digit of the answer. 
Result so far: 7066.0909
If we take 0 away from 10, we end up 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.

Let's proceed to step 11:
When dividing 100 by 11, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 7066.090909
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.

Going ahead to step 12:
11 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 7066.090909
If we subtract 0 from 10, we 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.

Step 13:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 7066.09090909
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.

After the division, we end up with 7066.09090909 and a remainder of 1e-09.