We're dividing 817411 by 75 
We want to divide 817411 by 75.

Let's proceed 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
The remainder is 8 after subtracting 0 from 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 75

On to step 2:
75 goes into 81 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 75 from 81 and we're left with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 75

On to step 3:
75 goes into 67 0 times with a remainder of 67.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 67 after subtracting 0 from 67.
Include the next digit (4) from the dividend after 67, then repeat: 674 / 75

Step 4:
If we divide 674 by 75, we get 8 and a remainder of 74.
The number 8 becomes the next digit in our result. 
Result so far: 108.0
Subtracting 600 from 674 leaves us with 74.
Grab the next digit (1) from the dividend, add it to 74, then carry on: 741 / 75

Advancing to step 5:
When dividing 741 by 75, we get 9 with a remainder of 66.
The number 9 becomes the next digit in our result. 
Result so far: 1089.0
Subtracting 675 from 741 leaves us with 66.
Fetch the next digit (1) from the dividend, attach it to 66 and continue: 661 / 75

Moving on to step 6:
661 divided by 75 is 8 with a remainder of 61.
Record the quotient 8 as the next digit in the result. 
Result so far: 10898.0
Subtract 600 from 661 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 7:
610 divided by 75 is 8 with a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 10898.8
Subtracting 600 from 610 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
The number 75 fits into 100 1 times, leaving a remainder of 25.
The next digit of our result is 1. 
Result so far: 10898.81
The remainder is 25 after subtracting 75 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 10898.813
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
75 goes into 250 3 times with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 10898.8133
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 10898.8133, and the remainder is 0.00025.