402814 ÷ 7 
The aim is to understand the frequency of 7 in 402814.

Moving on to step 1:
7 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 7

Step 2:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 35 away from 40, we end up with 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 7

Going ahead to step 3:
52 divided by 7 is 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Subtracting 49 from 52 leaves us with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 7

Let's proceed to step 4:
When dividing 38 by 7, we get 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 575.0
Subtracting 35 from 38 leaves us with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 7

Moving on to step 5:
The number 7 fits into 31 4 times, leaving a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 5754.0
Subtract 28 from 31 to get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 7

Going ahead to step 6:
When dividing 34 by 7, we get 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 57544.0
The remainder is 6 after subtracting 28 from 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
If we divide 60 by 7, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 57544.8
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 8:
7 goes into 40 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 57544.85
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.

Advancing to step 9:
50 divided by 7 is 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 57544.857
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.

Moving on to step 10:
7 goes into 10 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 57544.8571
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
When dividing 30 by 7, we get 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 57544.85714
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 12:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 57544.857142
If we take 14 away from 20, we end up 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.

On to step 13:
60 divided by 7 is 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 57544.8571428
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.

Step 14:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 57544.85714285
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.

After the division, we end up with 57544.85714285 and a remainder of 5e-09.