665657 ÷ 8 
The aim is to understand the frequency of 8 in 665657.

On to step 1:
The number 8 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 8

Moving on to step 2:
8 can be fit into 66 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 64 from 66 and we're left with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 8

Advancing to step 3:
If we divide 25 by 8, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 83.0
Subtracting 24 from 25 leaves us with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 8

Let's proceed to step 4:
8 goes into 16 2 times with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 832.0
The remainder is 0 after subtracting 16 from 16.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 8

Advancing to step 5:
If we divide 5 by 8, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 8320.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 8

Advancing to step 6:
If we divide 57 by 8, we get 7 and a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 83207.0
If we take 56 away from 57, 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.

Going ahead to step 7:
The number 8 fits into 10 1 times, leaving a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 83207.1
Deduct 8 from 10 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.

Step 8:
8 goes into 20 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 83207.12
If we take 16 away from 20, 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.

On to step 9:
When dividing 40 by 8, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 83207.125
Subtract 40 from 40 to 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.

Advancing to step 10:
If we divide 0 by 8, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 83207.125
Subtract 0 from 0 to 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.

Let's proceed to step 11:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 83207.125
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.

The quotient of the division is 83207.125, and the remainder is 0.0.