We're dividing 801724 by 75 
We want to divide 801724 by 75.

Advancing to step 1:
When dividing 8 by 75, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 75

Let's proceed to step 2:
When dividing 80 by 75, we get 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 75 from 80 and we're left with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 75

Going ahead to step 3:
When dividing 51 by 75, we get 0 with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 51, we get 51.
Take the next digit (7) from the dividend and append it to 51, then repeat: 517 / 75

Step 4:
517 divided by 75 is 6 with a remainder of 67.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
If we subtract 450 from 517, we get 67.
Include the next digit (2) from the dividend after 67, then repeat: 672 / 75

Step 5:
75 goes into 672 8 times with a remainder of 72.
The next digit of our result is 8. 
Result so far: 1068.0
The remainder is 72 after subtracting 600 from 672.
Bring next digit (4) of the dividend behind the 72 and repeat the process: 724 / 75

Going ahead to step 6:
75 can be fit into 724 9 times, resulting in a remainder of 49.
The number 9 becomes the next digit in our result. 
Result so far: 10689.0
If we take 675 away from 724, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 7:
75 goes into 490 6 times with a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 10689.6
Deduct 450 from 490 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
75 can be fit into 400 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 10689.65
Deduct 375 from 400 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.

Let's proceed to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 10689.653
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.

Advancing to step 10:
75 goes into 250 3 times with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 10689.6533
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 10689.6533, and the remainder is 0.00025.