778728 divided by 7 
The aim is to understand the frequency of 7 in 778728.

Moving on to step 1:
When dividing 7 by 7, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 7 from 7 and we're left with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 7

On to step 2:
When dividing 7 by 7, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 0 after subtracting 7 from 7.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 7

On to step 3:
The number 7 fits into 8 1 times, leaving a remainder of 1.
The next digit of our result is 1. 
Result so far: 111.0
If we take 7 away from 8, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 7

Advancing to step 4:
7 can be fit into 17 2 times, resulting in a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 1112.0
If we take 14 away from 17, we end up with 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 7

Let's proceed to step 5:
7 goes into 32 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 11124.0
Subtracting 28 from 32 leaves us with 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 7

Moving on to step 6:
When dividing 48 by 7, we get 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 111246.0
The remainder is 6 after subtracting 42 from 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
When dividing 60 by 7, we get 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 111246.8
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.

On to step 8:
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: 111246.85
If we subtract 35 from 40, we 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.

Step 9:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 111246.857
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.

Going ahead to step 10:
7 goes into 10 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 111246.8571
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.

Moving on to step 11:
The number 7 fits into 30 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 111246.85714
If we subtract 28 from 30, we 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.

Moving on 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: 111246.857142
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.

On to step 13:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 111246.8571428
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.

On to step 14:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 111246.85714285
The remainder is 5 after subtracting 35 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 111246.85714285, with a leftover of 5e-09.