278461 ÷ 11 
The aim is to understand the frequency of 11 in 278461.

Let's proceed to step 1:
11 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 11

Advancing to step 2:
27 divided by 11 is 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 22 from 27 leaves us with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 11

Moving on to step 3:
11 goes into 58 5 times with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 25.0
If we subtract 55 from 58, we get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 11

Step 4:
11 goes into 34 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 253.0
If we take 33 away from 34, we end up with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 11

Moving on to step 5:
11 goes into 16 1 times with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 2531.0
The remainder is 5 after subtracting 11 from 16.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 11

Step 6:
When dividing 51 by 11, we get 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 25314.0
If we subtract 44 from 51, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
11 goes into 70 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 25314.6
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
11 goes into 40 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 25314.63
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 25314.636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
40 divided by 11 is 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 25314.6363
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 25314.63636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
If we divide 40 by 11, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 25314.636363
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 13:
11 goes into 70 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 25314.6363636
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
When dividing 40 by 11, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 25314.63636363
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 25314.63636363 with a remainder of 7e-09.