542196 ÷ 7 
The aim is to understand the frequency of 7 in 542196.

Going ahead to step 1:
If we divide 5 by 7, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 7

Step 2:
7 can be fit into 54 7 times, resulting in a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 5 after subtracting 49 from 54.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 7

On to step 3:
The number 7 fits into 52 7 times, leaving a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
Deduct 49 from 52 and we're left with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 7

Step 4:
31 divided by 7 is 4 with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 774.0
Deduct 28 from 31 and we're left with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 7

On to step 5:
39 divided by 7 is 5 with a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 7745.0
If we take 35 away from 39, we end up with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 7

Let's proceed to step 6:
If we divide 46 by 7, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 77456.0
If we subtract 42 from 46, we 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.

Advancing to step 7:
40 divided by 7 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 77456.5
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 8:
7 can be fit into 50 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 77456.57
If we subtract 49 from 50, we 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.

Going ahead to step 9:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 77456.571
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 10:
The number 7 fits into 30 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 77456.5714
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:
20 divided by 7 is 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 77456.57142
Deduct 14 from 20 and we're left 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.
The number 8 becomes the next digit in our result. 
Result so far: 77456.571428
If we subtract 56 from 60, we 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.

Moving on to step 13:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 77456.5714285
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.

Moving on to step 14:
50 divided by 7 is 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 77456.57142857
Subtracting 49 from 50 leaves us 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 77456.57142857 with a remaining 1e-09.