815609 ÷ 75 
Our goal is to divide 815609 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
Subtract 0 from 8 to get 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 75

Advancing to step 2:
When dividing 81 by 75, we get 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 75 from 81 and we're left with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 75

Going ahead to step 3:
The number 75 fits into 65 0 times, leaving a remainder of 65.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Deduct 0 from 65 and we're left with 65.
Grab the next digit (6) from the dividend, add it to 65, then carry on: 656 / 75

Step 4:
If we divide 656 by 75, we get 8 and a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 108.0
If we take 600 away from 656, we end up with 56.
Append the next digit (0) from the dividend to 56 and continue with: 560 / 75

Advancing to step 5:
560 divided by 75 is 7 with a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 1087.0
Subtract 525 from 560 to get 35.
Take the next digit (9) from the dividend and append it to 35, then repeat: 359 / 75

Moving on to step 6:
359 divided by 75 is 4 with a remainder of 59.
The next digit of our result is 4. 
Result so far: 10874.0
Deduct 300 from 359 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 7:
590 divided by 75 is 7 with a remainder of 65.
The next digit of our result is 7. 
Result so far: 10874.7
Deduct 525 from 590 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 8:
650 divided by 75 is 8 with a remainder of 50.
Record the quotient 8 as the next digit in the result. 
Result so far: 10874.78
The remainder is 50 after subtracting 600 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
When dividing 500 by 75, we get 6 with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 10874.786
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.

Let's proceed to step 10:
500 divided by 75 is 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 10874.7866
Deduct 450 from 500 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.

The final outcome is 10874.7866, with a leftover of 0.0005.