Let's divide 113124 by 7
The aim is to understand the frequency of 7 in 113124.

Advancing to step 1:
When dividing 1 by 7, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 7

Step 2:
7 goes into 11 1 times with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 4 after subtracting 7 from 11.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 7

Step 3:
The number 7 fits into 43 6 times, leaving a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtracting 42 from 43 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 7

Let's proceed to step 4:
The number 7 fits into 11 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 161.0
Subtracting 7 from 11 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 7

Advancing to step 5:
If we divide 42 by 7, we get 6 and a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 1616.0
Subtracting 42 from 42 leaves us with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 7

Let's proceed to step 6:
7 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 16160.0
The remainder is 4 after subtracting 0 from 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 7:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 16160.5
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.

Let's proceed to step 8:
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: 16160.57
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.

On to step 9:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 16160.571
If we take 7 away from 10, we end up 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:
When dividing 30 by 7, we get 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 16160.5714
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.

Step 11:
7 goes into 20 2 times with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 16160.57142
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:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 16160.571428
If we take 56 away from 60, 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.

On to step 13:
If we divide 40 by 7, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 16160.5714285
If we take 35 away from 40, we end up 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:
7 goes into 50 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 16160.57142857
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.

In conclusion, the division gives 16160.57142857 with a balance of 1e-09.