378142 ÷ 11 
The aim is to understand the frequency of 11 in 378142.

Step 1:
The number 11 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 11

Let's proceed to step 2:
The number 11 fits into 37 3 times, leaving a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 33 from 37 leaves us with 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 11

On to step 3:
48 divided by 11 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
The remainder is 4 after subtracting 44 from 48.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 11

Let's proceed to step 4:
If we divide 41 by 11, we get 3 and a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 343.0
Subtracting 33 from 41 leaves us with 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 11

Going ahead to step 5:
If we divide 84 by 11, we get 7 and a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 3437.0
The remainder is 7 after subtracting 77 from 84.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 11

Advancing to step 6:
11 goes into 72 6 times with a remainder of 6.
The next digit of our result is 6. 
Result so far: 34376.0
The remainder is 6 after subtracting 66 from 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
60 divided by 11 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 34376.5
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
50 divided by 11 is 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 34376.54
Subtract 44 from 50 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
If we divide 60 by 11, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 34376.545
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
The number 11 fits into 50 4 times, leaving a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 34376.5454
Deduct 44 from 50 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
The number 11 fits into 60 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 34376.54545
Deduct 55 from 60 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
11 goes into 50 4 times with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 34376.545454
Subtract 44 from 50 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
When dividing 60 by 11, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 34376.5454545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 14:
11 goes into 50 4 times with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 34376.54545454
Deduct 44 from 50 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 34376.54545454 with a remainder of 6e-09.