769217 ÷ 7 
The aim is to understand the frequency of 7 in 769217.

Let's proceed to step 1:
7 goes into 7 1 times with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 7 from 7 leaves us with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 7

Moving on to step 2:
If we divide 6 by 7, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 7

Let's proceed to step 3:
When dividing 69 by 7, we get 9 with a remainder of 6.
The next digit of our result is 9. 
Result so far: 109.0
If we take 63 away from 69, we end up with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 7

Step 4:
7 can be fit into 62 8 times, resulting in a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 1098.0
If we take 56 away from 62, we end up with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 7

Moving on to step 5:
If we divide 61 by 7, we get 8 and a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 10988.0
If we take 56 away from 61, we end up with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 7

On to step 6:
57 divided by 7 is 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 109888.0
Subtracting 56 from 57 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.

Let's proceed to step 7:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 109888.1
Subtracting 7 from 10 leaves us 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.

Let's proceed to step 8:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 109888.14
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.

Going ahead to step 9:
When dividing 20 by 7, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 109888.142
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 10:
If we divide 60 by 7, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 109888.1428
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.

Going ahead to step 11:
7 goes into 40 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 109888.14285
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.

Going ahead to step 12:
If we divide 50 by 7, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 109888.142857
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 13:
If we divide 10 by 7, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 109888.1428571
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 14:
When dividing 30 by 7, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 109888.14285714
Deduct 28 from 30 and we're left 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.

The quotient of the division is 109888.14285714, and the remainder is 2e-09.