771240 ÷ 7 
The aim is to understand the frequency of 7 in 771240.

On to step 1:
If we divide 7 by 7, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 7 from 7, we get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 7

Moving on to step 2:
7 divided by 7 is 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 7 from 7 leaves us with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 7

Going ahead to step 3:
7 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 110.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 7

Let's proceed to step 4:
If we divide 12 by 7, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 1101.0
The remainder is 5 after subtracting 7 from 12.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 7

On to step 5:
If we divide 54 by 7, we get 7 and a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 11017.0
Subtracting 49 from 54 leaves us with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 7

Step 6:
7 goes into 50 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 110177.0
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.

On to step 7:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 110177.1
Subtract 7 from 10 to get 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 8:
7 goes into 30 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 110177.14
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.

Advancing to step 9:
7 can be fit into 20 2 times, resulting in a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 110177.142
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.

Let's proceed to step 10:
If we divide 60 by 7, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 110177.1428
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 11:
40 divided by 7 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 110177.14285
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 12:
If we divide 50 by 7, we get 7 and a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 110177.142857
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.

Moving on to step 13:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 110177.1428571
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.

Going ahead to step 14:
7 goes into 30 4 times with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 110177.14285714
If we take 28 away from 30, we end up 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.

After the division, we end up with 110177.14285714 and a remainder of 2e-09.