We're dividing 125724 by 75 
We're looking to find how many times 75 goes into 125724.

Step 1:
The number 75 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 75

On to step 2:
12 divided by 75 is 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 75

Moving on to step 3:
125 divided by 75 is 1 with a remainder of 50.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 75 from 125 and we're left with 50.
Append the next digit (7) from the dividend to 50 and continue with: 507 / 75

On to step 4:
75 goes into 507 6 times with a remainder of 57.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtract 450 from 507 to get 57.
Fetch the next digit (2) from the dividend, attach it to 57 and continue: 572 / 75

Step 5:
The number 75 fits into 572 7 times, leaving a remainder of 47.
Record the quotient 7 as the next digit in the result. 
Result so far: 167.0
The remainder is 47 after subtracting 525 from 572.
Fetch the next digit (4) from the dividend, attach it to 47 and continue: 474 / 75

Advancing to step 6:
When dividing 474 by 75, we get 6 with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 1676.0
If we subtract 450 from 474, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
If we divide 240 by 75, we get 3 and a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 1676.3
If we subtract 225 from 240, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
150 divided by 75 is 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 1676.32
Subtract 150 from 150 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
When dividing 0 by 75, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1676.32
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
The number 75 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1676.32
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 1676.32 and a remainder of 0.0.