We divide 172288 by 75
We want to divide 172288 by 75.

On to step 1:
The number 75 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 75

Going ahead to step 2:
75 can be fit into 17 0 times, resulting in a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Grab the next digit (2) from the dividend, add it to 17, then carry on: 172 / 75

Advancing to step 3:
172 divided by 75 is 2 with a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 150 from 172 to get 22.
Fetch the next digit (2) from the dividend, attach it to 22 and continue: 222 / 75

On to step 4:
If we divide 222 by 75, we get 2 and a remainder of 72.
Put 2 as the next digit of the answer. 
Result so far: 22.0
Deduct 150 from 222 and we're left with 72.
Take the next digit (8) from the dividend and append it to 72, then repeat: 728 / 75

Step 5:
728 divided by 75 is 9 with a remainder of 53.
Record the quotient 9 as the next digit in the result. 
Result so far: 229.0
If we take 675 away from 728, we end up with 53.
Include the next digit (8) from the dividend after 53, then repeat: 538 / 75

Moving on to step 6:
538 divided by 75 is 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 2297.0
Subtract 525 from 538 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
When dividing 130 by 75, we get 1 with a remainder of 55.
The next digit of our result is 1. 
Result so far: 2297.1
If we take 75 away from 130, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 8:
75 goes into 550 7 times with a remainder of 25.
Write down 7 as next digit of the result. 
Result so far: 2297.17
If we subtract 525 from 550, 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.

Going ahead to step 9:
75 goes into 250 3 times with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 2297.173
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.

Let's proceed to step 10:
250 divided by 75 is 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 2297.1733
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.

The quotient of the division is 2297.1733, and the remainder is 0.00025.