109666 ÷ 7 
The aim is to understand the frequency of 7 in 109666.

Advancing to step 1:
7 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 7

Going ahead to step 2:
If we divide 10 by 7, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 7 from 10 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 7

Step 3:
The number 7 fits into 39 5 times, leaving a remainder of 4.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 35 from 39, we get 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 7

On to step 4:
7 goes into 46 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 156.0
If we take 42 away from 46, we end up with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 7

On to step 5:
If we divide 46 by 7, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 1566.0
Subtract 42 from 46 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 7

Let's proceed to step 6:
If we divide 46 by 7, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 15666.0
Subtracting 42 from 46 leaves us 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.

On to step 7:
If we divide 40 by 7, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 15666.5
Subtract 35 from 40 to 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 8:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 15666.57
The remainder is 1 after subtracting 49 from 50.
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 9:
When dividing 10 by 7, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 15666.571
Subtracting 7 from 10 leaves us 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.

Let's proceed to step 10:
When dividing 30 by 7, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 15666.5714
Subtracting 28 from 30 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
When dividing 20 by 7, we get 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 15666.57142
If we subtract 14 from 20, we 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.

Going ahead to step 12:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 15666.571428
The remainder is 4 after subtracting 56 from 60.
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 13:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 15666.5714285
Subtracting 35 from 40 leaves us 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.

Going ahead to step 14:
If we divide 50 by 7, we get 7 and a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 15666.57142857
Deduct 49 from 50 and we're left 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.

Our division results in 15666.57142857 with a remaining 1e-09.