Let's divide 111534 by 7
The aim is to understand the frequency of 7 in 111534.

Step 1:
1 divided by 7 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 7

Step 2:
When dividing 11 by 7, we get 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 7 from 11 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 7

Let's proceed to step 3:
7 goes into 41 5 times with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Deduct 35 from 41 and we're left with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 7

Step 4:
7 can be fit into 65 9 times, resulting in a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 159.0
Subtracting 63 from 65 leaves us with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 7

Advancing to step 5:
When dividing 23 by 7, we get 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 1593.0
If we take 21 away from 23, we end up with 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 7

Advancing to step 6:
24 divided by 7 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 15933.0
If we take 21 away from 24, 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.

Going ahead to step 7:
7 goes into 30 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 15933.4
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
The number 7 fits into 20 2 times, leaving a remainder of 6.
The next digit of our result is 2. 
Result so far: 15933.42
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.

Moving on to step 9:
When dividing 60 by 7, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 15933.428
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 10:
40 divided by 7 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 15933.4285
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 11:
7 goes into 50 7 times with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 15933.42857
If we take 49 away from 50, we end up 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.

Moving on to step 12:
When dividing 10 by 7, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 15933.428571
Deduct 7 from 10 and we're left 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.

On to step 13:
The number 7 fits into 30 4 times, leaving a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 15933.4285714
Subtract 28 from 30 to get 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 14:
20 divided by 7 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 15933.42857142
Subtract 14 from 20 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.

Our division results in 15933.42857142 with a remaining 6e-09.