107132 ÷ 7 
The aim is to understand the frequency of 7 in 107132.

Going ahead to step 1:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 7

Let's proceed to step 2:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 7 from 10 leaves us with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 7

On to step 3:
If we divide 37 by 7, we get 5 and a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 35 away from 37, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 7

Going ahead to step 4:
7 goes into 21 3 times with a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 153.0
The remainder is 0 after subtracting 21 from 21.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 7

Let's proceed to step 5:
The number 7 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 1530.0
If we subtract 0 from 3, we get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 7

Going ahead to step 6:
When dividing 32 by 7, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 15304.0
Subtracting 28 from 32 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.

Step 7:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 15304.5
Deduct 35 from 40 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.

Moving on to step 8:
50 divided by 7 is 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 15304.57
Subtract 49 from 50 to 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.

On to step 9:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 15304.571
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.

Moving on to step 10:
7 goes into 30 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 15304.5714
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.

On to step 11:
20 divided by 7 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 15304.57142
Subtracting 14 from 20 leaves us 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.

Moving on to step 12:
When dividing 60 by 7, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 15304.571428
Subtract 56 from 60 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.

On to step 13:
7 goes into 40 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 15304.5714285
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.

Let's proceed to step 14:
50 divided by 7 is 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 15304.57142857
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.

After the division, we end up with 15304.57142857 and a remainder of 1e-09.