We look at the division of 7721 by 11 
Our goal is to divide 7721 by 11.

Going ahead to step 1:
If we divide 7 by 11, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 11

Advancing to step 2:
When dividing 77 by 11, we get 7 with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 77 from 77 to get 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 11

Moving on to step 3:
If we divide 2 by 11, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 70.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 11

Advancing to step 4:
When dividing 21 by 11, we get 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 701.0
If we subtract 11 from 21, 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 5:
If we divide 100 by 11, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 701.9
Deduct 99 from 100 and we're left 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.

Step 6:
If we divide 10 by 11, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 701.9
Subtract 0 from 10 to 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.

Advancing to step 7:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 701.909
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.

On to step 8:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 701.909
The remainder is 10 after subtracting 0 from 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:
When dividing 100 by 11, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 701.90909
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.

On to step 10:
The number 11 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 701.90909
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:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 701.9090909
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.

Moving on to step 12:
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: 701.9090909
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.

The final result is 701.9090909 with a remainder of 1e-08.