31779 divided by 11 
Our goal is to divide 31779 by 11.

Step 1:
If we divide 3 by 11, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 11

Moving on to step 2:
11 can be fit into 31 2 times, resulting in a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 9 after subtracting 22 from 31.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 11

Moving on to step 3:
11 can be fit into 97 8 times, resulting in a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 28.0
Deduct 88 from 97 and we're left with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 11

Going ahead to step 4:
11 can be fit into 97 8 times, resulting in a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 288.0
Deduct 88 from 97 and we're left with 9.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 11

Advancing to step 5:
11 can be fit into 99 9 times, resulting in a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 2889.0
If we subtract 99 from 99, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 6:
11 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 2889.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
11 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 2889.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 2889.0 with a remainder of 0.0.