791971 ÷ 75 
Our goal is to divide 791971 by 75.

Advancing to step 1:
The number 75 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 75

Let's proceed to step 2:
75 goes into 79 1 times with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 75 from 79 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 75

Going ahead to step 3:
75 goes into 41 0 times with a remainder of 41.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 41 and we're left with 41.
Fetch the next digit (9) from the dividend, attach it to 41 and continue: 419 / 75

Moving on to step 4:
The number 75 fits into 419 5 times, leaving a remainder of 44.
The next digit of our result is 5. 
Result so far: 105.0
The remainder is 44 after subtracting 375 from 419.
Grab the next digit (7) from the dividend, add it to 44, then carry on: 447 / 75

Moving on to step 5:
When dividing 447 by 75, we get 5 with a remainder of 72.
The next digit of our result is 5. 
Result so far: 1055.0
If we take 375 away from 447, we end up with 72.
Fetch the next digit (1) from the dividend, attach it to 72 and continue: 721 / 75

Moving on to step 6:
If we divide 721 by 75, we get 9 and a remainder of 46.
Record the quotient 9 as the next digit in the result. 
Result so far: 10559.0
If we take 675 away from 721, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 7:
75 can be fit into 460 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 10559.6
The remainder is 10 after subtracting 450 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
If we divide 100 by 75, we get 1 and a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 10559.61
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.

Moving on to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 10559.613
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.

Step 10:
The number 75 fits into 250 3 times, leaving a remainder of 25.
The next digit of our result is 3. 
Result so far: 10559.6133
If we take 225 away from 250, we end up 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.

Our division results in 10559.6133 with a remaining 0.00025.