113647 ÷ 7 
The aim is to understand the frequency of 7 in 113647.

On to step 1:
7 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 7

On to step 2:
When dividing 11 by 7, we get 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 7 from 11 and we're left with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 7

Step 3:
When dividing 43 by 7, we get 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we subtract 42 from 43, we get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 7

Advancing to step 4:
7 can be fit into 16 2 times, resulting in a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 162.0
The remainder is 2 after subtracting 14 from 16.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 7

Going ahead to step 5:
7 can be fit into 24 3 times, resulting in a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 1623.0
Deduct 21 from 24 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 7

Advancing to step 6:
When dividing 37 by 7, we get 5 with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 16235.0
If we take 35 away from 37, we end up 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.

Advancing to step 7:
20 divided by 7 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 16235.2
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.

Let's proceed to step 8:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 16235.28
Deduct 56 from 60 and we're left 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 9:
When dividing 40 by 7, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 16235.285
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.

Moving on to step 10:
If we divide 50 by 7, we get 7 and a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 16235.2857
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.

Advancing to step 11:
If we divide 10 by 7, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 16235.28571
Subtract 7 from 10 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 12:
7 can be fit into 30 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 16235.285714
Deduct 28 from 30 and we're left 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.

Moving on to step 13:
20 divided by 7 is 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 16235.2857142
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 14:
60 divided by 7 is 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 16235.28571428
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.

Our division results in 16235.28571428 with a remaining 4e-09.