We look at the division of 725113 by 75 
Our goal is to divide 725113 by 75.

Advancing to step 1:
If we divide 7 by 75, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 75

On to step 2:
72 divided by 75 is 0 with a remainder of 72.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 72 leaves us with 72.
Grab the next digit (5) from the dividend, add it to 72, then carry on: 725 / 75

Let's proceed to step 3:
725 divided by 75 is 9 with a remainder of 50.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 675 from 725 to get 50.
Fetch the next digit (1) from the dividend, attach it to 50 and continue: 501 / 75

Going ahead to step 4:
When dividing 501 by 75, we get 6 with a remainder of 51.
Put 6 as the next digit of the answer. 
Result so far: 96.0
Subtracting 450 from 501 leaves us with 51.
Append the next digit (1) from the dividend to 51 and continue with: 511 / 75

On to step 5:
If we divide 511 by 75, we get 6 and a remainder of 61.
Use 6 as the next digit of our solution. 
Result so far: 966.0
If we take 450 away from 511, we end up with 61.
Fetch the next digit (3) from the dividend, attach it to 61 and continue: 613 / 75

Let's proceed to step 6:
If we divide 613 by 75, we get 8 and a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 9668.0
Subtract 600 from 613 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.

On to step 7:
The number 75 fits into 130 1 times, leaving a remainder of 55.
Record the quotient 1 as the next digit in the result. 
Result so far: 9668.1
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.

Let's proceed to step 8:
550 divided by 75 is 7 with a remainder of 25.
Put 7 as the next digit of the answer. 
Result so far: 9668.17
Subtract 525 from 550 to 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.

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: 9668.173
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.

Advancing to step 10:
When dividing 250 by 75, we get 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 9668.1733
Subtracting 225 from 250 leaves us 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 final result is 9668.1733 with a remainder of 0.00025.