821775 ÷ 8 
We want to figure out the number of times 821775 can be divided by 8.

Going ahead to step 1:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 0 after subtracting 8 from 8.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 8

Step 2:
If we divide 2 by 8, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 8

Step 3:
When dividing 21 by 8, we get 2 with a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 102.0
If we subtract 16 from 21, we get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 8

Advancing to step 4:
8 goes into 57 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 1027.0
Subtracting 56 from 57 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 8

Going ahead to step 5:
8 goes into 17 2 times with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 10272.0
The remainder is 1 after subtracting 16 from 17.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 8

Let's proceed to step 6:
8 goes into 15 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 102721.0
If we subtract 8 from 15, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
70 divided by 8 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 102721.8
Deduct 64 from 70 and we're left with 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 8:
8 goes into 60 7 times with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 102721.87
Deduct 56 from 60 and we're left 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.

Going ahead to step 9:
40 divided by 8 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 102721.875
If we take 40 away from 40, 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.

Let's proceed to step 10:
8 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 102721.875
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.

Step 11:
The number 8 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 102721.875
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.

In conclusion, the division gives 102721.875 with a balance of 0.0.