We're dividing 812551 by 8 
Our goal is to divide 812551 by 8.

Let's proceed to step 1:
The number 8 fits into 8 1 times, leaving a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 0 after subtracting 8 from 8.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 8

Let's proceed to step 2:
1 divided by 8 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 8

Moving on to step 3:
The number 8 fits into 12 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 101.0
If we subtract 8 from 12, we get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 8

Advancing to step 4:
8 can be fit into 45 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 1015.0
Subtract 40 from 45 to get 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 8

On to step 5:
If we divide 55 by 8, we get 6 and a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 10156.0
If we subtract 48 from 55, we get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 8

On to step 6:
When dividing 71 by 8, we get 8 with a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 101568.0
The remainder is 7 after subtracting 64 from 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
When dividing 70 by 8, we get 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 101568.8
If we subtract 64 from 70, 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.

Moving on to step 8:
8 can be fit into 60 7 times, resulting in a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 101568.87
If we subtract 56 from 60, we 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.

Let's proceed 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: 101568.875
Deduct 40 from 40 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.

Step 10:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 101568.875
If we take 0 away from 0, 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.

Advancing 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: 101568.875
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.

In conclusion, the division gives 101568.875 with a balance of 0.0.