275978 ÷ 11 
We're looking to find how many times 11 goes into 275978.

Moving on to step 1:
The number 11 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 11

On to step 2:
If we divide 27 by 11, we get 2 and a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 5 after subtracting 22 from 27.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 11

Going ahead to step 3:
11 can be fit into 55 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 25.0
The remainder is 0 after subtracting 55 from 55.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 11

Let's proceed to step 4:
When dividing 9 by 11, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 250.0
If we subtract 0 from 9, we get 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 11

Advancing to step 5:
11 can be fit into 97 8 times, resulting in a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 2508.0
If we take 88 away from 97, we end up with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 11

Let's proceed to step 6:
98 divided by 11 is 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 25088.0
If we subtract 88 from 98, 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.

Advancing to step 7:
11 goes into 100 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 25088.9
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.

Let's proceed to step 8:
11 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 25088.9
Deduct 0 from 10 and we're left 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 9:
If we divide 100 by 11, we get 9 and a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 25088.909
The remainder is 1 after subtracting 99 from 100.
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 10:
10 divided by 11 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 25088.909
Deduct 0 from 10 and we're left 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.
Use 9 as the next digit of our solution. 
Result so far: 25088.90909
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:
If we divide 10 by 11, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 25088.90909
Deduct 0 from 10 and we're left 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 13:
11 goes into 100 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 25088.9090909
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.

Let's proceed to step 14:
The number 11 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 25088.9090909
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.

The final outcome is 25088.9090909, with a leftover of 1e-08.