We're dividing 815219 by 75 
Our goal is to divide 815219 by 75.

Moving on to step 1:
The number 75 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 75

Moving on to step 2:
If we divide 81 by 75, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 75 from 81 and we're left with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 75

Moving on to step 3:
75 goes into 65 0 times with a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 65 and we're left with 65.
Append the next digit (2) from the dividend to 65 and continue with: 652 / 75

Let's proceed to step 4:
When dividing 652 by 75, we get 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
Subtract 600 from 652 to get 52.
Fetch the next digit (1) from the dividend, attach it to 52 and continue: 521 / 75

Step 5:
75 goes into 521 6 times with a remainder of 71.
The number 6 becomes the next digit in our result. 
Result so far: 1086.0
Deduct 450 from 521 and we're left with 71.
Append the next digit (9) from the dividend to 71 and continue with: 719 / 75

Advancing to step 6:
The number 75 fits into 719 9 times, leaving a remainder of 44.
Record the quotient 9 as the next digit in the result. 
Result so far: 10869.0
If we subtract 675 from 719, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 7:
The number 75 fits into 440 5 times, leaving a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 10869.5
The remainder is 65 after subtracting 375 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 8:
If we divide 650 by 75, we get 8 and a remainder of 50.
The next digit of our result is 8. 
Result so far: 10869.58
Deduct 600 from 650 and we're left 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.

Step 9:
When dividing 500 by 75, we get 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 10869.586
Subtracting 450 from 500 leaves us 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 10:
500 divided by 75 is 6 with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 10869.5866
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.

After the division, we end up with 10869.5866 and a remainder of 0.0005.