7727233 ÷ 7 
The aim is to understand the frequency of 7 in 7727233.

Let's proceed 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
Subtract 7 from 7 to get 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 7

Going ahead to step 2:
The number 7 fits into 7 1 times, leaving a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 7 away from 7, we end up with 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 7

On to step 3:
2 divided by 7 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 110.0
If we subtract 0 from 2, we get 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 7

Moving on to step 4:
7 can be fit into 27 3 times, resulting in a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 1103.0
If we take 21 away from 27, we end up with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 7

Step 5:
The number 7 fits into 62 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 11038.0
Subtracting 56 from 62 leaves us with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 7

On to step 6:
If we divide 63 by 7, we get 9 and a remainder of 0.
The next digit of our result is 9. 
Result so far: 110389.0
Subtracting 63 from 63 leaves us with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 7

Step 7:
If we divide 3 by 7, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 1103890.0
If we take 0 away from 3, we end up 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 8:
If we divide 30 by 7, we get 4 and a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 1103890.4
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.

On to step 9:
If we divide 20 by 7, we get 2 and a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 1103890.42
If we subtract 14 from 20, we 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:
60 divided by 7 is 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 1103890.428
If we take 56 away from 60, we end up 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.

Moving on to step 11:
7 can be fit into 40 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 1103890.4285
If we take 35 away from 40, we end up 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.

Advancing to step 12:
7 goes into 50 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 1103890.42857
If we take 49 away from 50, we end up 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.

On to step 13:
When dividing 10 by 7, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1103890.428571
If we take 7 away from 10, we end up 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:
The number 7 fits into 30 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 1103890.4285714
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.

On to step 15:
When dividing 20 by 7, we get 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 1103890.42857142
If we subtract 14 from 20, we 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.

The quotient of the division is 1103890.42857142, and the remainder is 6e-09.