We're dividing 725413 by 95 
Our goal is to divide 725413 by 95.

Step 1:
95 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 95

Moving on to step 2:
95 goes into 72 0 times with a remainder of 72.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 72, we get 72.
Bring next digit (5) of the dividend behind the 72 and repeat the process: 725 / 95

Moving on to step 3:
725 divided by 95 is 7 with a remainder of 60.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 665 from 725 leaves us with 60.
Grab the next digit (4) from the dividend, add it to 60, then carry on: 604 / 95

Let's proceed to step 4:
95 goes into 604 6 times with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Deduct 570 from 604 and we're left with 34.
Include the next digit (1) from the dividend after 34, then repeat: 341 / 95

Advancing to step 5:
95 can be fit into 341 3 times, resulting in a remainder of 56.
The number 3 becomes the next digit in our result. 
Result so far: 763.0
Deduct 285 from 341 and we're left with 56.
Include the next digit (3) from the dividend after 56, then repeat: 563 / 95

Step 6:
95 can be fit into 563 5 times, resulting in a remainder of 88.
Use 5 as the next digit of our solution. 
Result so far: 7635.0
If we take 475 away from 563, we end up with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

On to step 7:
If we divide 880 by 95, we get 9 and a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 7635.9
Subtracting 855 from 880 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.

Advancing to step 8:
If we divide 250 by 95, we get 2 and a remainder of 60.
Put 2 as the next digit of the answer. 
Result so far: 7635.92
Subtract 190 from 250 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 9:
The number 95 fits into 600 6 times, leaving a remainder of 30.
The next digit of our result is 6. 
Result so far: 7635.926
Deduct 570 from 600 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 10:
95 goes into 300 3 times with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 7635.9263
The remainder is 15 after subtracting 285 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 11:
If we divide 150 by 95, we get 1 and a remainder of 55.
The number 1 becomes the next digit in our result. 
Result so far: 7635.92631
Subtract 95 from 150 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 12:
95 goes into 550 5 times with a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 7635.926315
If we take 475 away from 550, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 13:
750 divided by 95 is 7 with a remainder of 85.
Write down 7 as next digit of the result. 
Result so far: 7635.9263157
Deduct 665 from 750 and we're left with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Step 14:
95 can be fit into 850 8 times, resulting in a remainder of 90.
Put 8 as the next digit of the answer. 
Result so far: 7635.92631578
If we subtract 760 from 850, we get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Our division results in 7635.92631578 with a remaining 9e-08.