453627 ÷ 6 
The aim is to understand the frequency of 6 in 453627.

Advancing to step 1:
If we divide 4 by 6, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 6

Going ahead to step 2:
The number 6 fits into 45 7 times, leaving a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 42 from 45 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 6

On to step 3:
6 can be fit into 33 5 times, resulting in a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 75.0
If we take 30 away from 33, we end up with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 6

Moving on to step 4:
6 goes into 36 6 times with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 756.0
The remainder is 0 after subtracting 36 from 36.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 6

Let's proceed to step 5:
6 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 7560.0
If we take 0 away from 2, we end up with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 6

Advancing to step 6:
6 can be fit into 27 4 times, resulting in a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 75604.0
Subtracting 24 from 27 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.

Going ahead to step 7:
If we divide 30 by 6, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 75604.5
If we take 30 away from 30, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
If we divide 0 by 6, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 75604.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
When dividing 0 by 6, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 75604.5
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 75604.5, with a leftover of 0.0.