305374 ÷ 11 
We're looking to find how many times 11 goes into 305374.

Step 1:
3 divided by 11 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 11

Moving on to step 2:
When dividing 30 by 11, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 22 from 30, we get 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 11

Going ahead to step 3:
The number 11 fits into 85 7 times, leaving a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 27.0
Subtract 77 from 85 to get 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 11

Advancing to step 4:
83 divided by 11 is 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 277.0
Subtracting 77 from 83 leaves us with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 11

On to step 5:
When dividing 67 by 11, we get 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 2776.0
Subtracting 66 from 67 leaves us with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 11

Step 6:
When dividing 14 by 11, we get 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 27761.0
Subtract 11 from 14 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
The number 11 fits into 30 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 27761.2
Deduct 22 from 30 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
11 can be fit into 80 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 27761.27
The remainder is 3 after subtracting 77 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 9:
30 divided by 11 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 27761.272
If we take 22 away from 30, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
80 divided by 11 is 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 27761.2727
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
11 can be fit into 30 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 27761.27272
Subtracting 22 from 30 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 12:
If we divide 80 by 11, we get 7 and a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 27761.272727
Deduct 77 from 80 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 13:
30 divided by 11 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 27761.2727272
The remainder is 8 after subtracting 22 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
When dividing 80 by 11, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 27761.27272727
Deduct 77 from 80 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 27761.27272727 and a remainder of 3e-09.