We're dividing 821222 by 75 
We want to figure out the number of times 821222 can be divided by 75.

Let's proceed to step 1:
75 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 75

Let's proceed to step 2:
When dividing 82 by 75, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 75 from 82 and we're left with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 75

Advancing to step 3:
75 can be fit into 71 0 times, resulting in a remainder of 71.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 71 after subtracting 0 from 71.
Take the next digit (2) from the dividend and append it to 71, then repeat: 712 / 75

Advancing to step 4:
When dividing 712 by 75, we get 9 with a remainder of 37.
The next digit of our result is 9. 
Result so far: 109.0
If we take 675 away from 712, we end up with 37.
Take the next digit (2) from the dividend and append it to 37, then repeat: 372 / 75

On to step 5:
When dividing 372 by 75, we get 4 with a remainder of 72.
Write down 4 as next digit of the result. 
Result so far: 1094.0
Subtracting 300 from 372 leaves us with 72.
Fetch the next digit (2) from the dividend, attach it to 72 and continue: 722 / 75

Step 6:
The number 75 fits into 722 9 times, leaving a remainder of 47.
Write down 9 as next digit of the result. 
Result so far: 10949.0
Subtracting 675 from 722 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 7:
If we divide 470 by 75, we get 6 and a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 10949.6
Subtracting 450 from 470 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
When dividing 200 by 75, we get 2 with a remainder of 50.
The number 2 becomes the next digit in our result. 
Result so far: 10949.62
If we take 150 away from 200, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
500 divided by 75 is 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 10949.626
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 10:
If we divide 500 by 75, we get 6 and a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 10949.6266
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 10949.6266 with a balance of 0.0005.