We're dividing 577717 by 8 
The aim is to understand the frequency of 8 in 577717.

Advancing to step 1:
The number 8 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 8

Let's proceed to step 2:
8 goes into 57 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 56 from 57 to get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 8

Going ahead to step 3:
8 goes into 17 2 times with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
Subtracting 16 from 17 leaves us with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 8

Step 4:
If we divide 17 by 8, we get 2 and a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 722.0
Subtract 16 from 17 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 8

Moving on to step 5:
8 can be fit into 11 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 7221.0
Subtract 8 from 11 to get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 8

Moving on to step 6:
If we divide 37 by 8, we get 4 and a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 72214.0
If we subtract 32 from 37, we 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.

Step 7:
The number 8 fits into 50 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 72214.6
Deduct 48 from 50 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.

Moving on to step 8:
When dividing 20 by 8, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 72214.62
Subtract 16 from 20 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.

On to step 9:
If we divide 40 by 8, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 72214.625
If we subtract 40 from 40, 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.

Step 10:
0 divided by 8 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 72214.625
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.

Let's proceed to step 11:
8 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 72214.625
Deduct 0 from 0 and we're left 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.

Our division results in 72214.625 with a remaining 0.0.