We're dividing 769541 by 7 
The aim is to understand the frequency of 7 in 769541.

Going ahead to step 1:
When dividing 7 by 7, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 7 from 7, we get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 7

Moving on to step 2:
6 divided by 7 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 7

On to step 3:
If we divide 69 by 7, we get 9 and a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
Deduct 63 from 69 and we're left with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 7

Going ahead to step 4:
65 divided by 7 is 9 with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 1099.0
The remainder is 2 after subtracting 63 from 65.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 7

Advancing to step 5:
7 can be fit into 24 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 10993.0
Subtracting 21 from 24 leaves us with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 7

Moving on to step 6:
7 can be fit into 31 4 times, resulting in a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 109934.0
Deduct 28 from 31 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.

Advancing to step 7:
When dividing 30 by 7, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 109934.4
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.

Moving on to step 8:
When dividing 20 by 7, we get 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 109934.42
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 9:
When dividing 60 by 7, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 109934.428
Subtracting 56 from 60 leaves us 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.

Let's proceed to step 10:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 109934.4285
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.

Moving on to step 11:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 109934.42857
The remainder is 1 after subtracting 49 from 50.
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 12:
10 divided by 7 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 109934.428571
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.

Advancing to step 13:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 109934.4285714
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.

Step 14:
20 divided by 7 is 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 109934.42857142
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.

The final outcome is 109934.42857142, with a leftover of 6e-09.