We divide 71972 by 75
We want to figure out the number of times 71972 can be divided by 75.

Advancing to step 1:
7 divided by 75 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 75

Advancing to step 2:
75 goes into 71 0 times with a remainder of 71.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 71, we end up with 71.
Take the next digit (9) from the dividend and append it to 71, then repeat: 719 / 75

Let's proceed to step 3:
75 can be fit into 719 9 times, resulting in a remainder of 44.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtract 675 from 719 to get 44.
Take the next digit (7) from the dividend and append it to 44, then repeat: 447 / 75

On to step 4:
75 can be fit into 447 5 times, resulting in a remainder of 72.
The number 5 becomes the next digit in our result. 
Result so far: 95.0
Subtracting 375 from 447 leaves us with 72.
Bring next digit (2) of the dividend behind the 72 and repeat the process: 722 / 75

Let's proceed to step 5:
If we divide 722 by 75, we get 9 and a remainder of 47.
Put 9 as the next digit of the answer. 
Result so far: 959.0
If we subtract 675 from 722, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 6:
The number 75 fits into 470 6 times, leaving a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 959.6
Subtracting 450 from 470 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
200 divided by 75 is 2 with a remainder of 50.
Put 2 as the next digit of the answer. 
Result so far: 959.62
Deduct 150 from 200 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.

Moving on to step 8:
When dividing 500 by 75, we get 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 959.626
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.

Going ahead to step 9:
If we divide 500 by 75, we get 6 and a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 959.6266
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 result is 959.6266 with a remainder of 0.0005.