We look at the division of 725107 by 53 
We're looking to find how many times 53 goes into 725107.

Advancing to step 1:
53 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
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 / 53

Moving on to step 2:
53 goes into 72 1 times with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 53 from 72 to get 19.
Bring next digit (5) of the dividend behind the 19 and repeat the process: 195 / 53

Let's proceed to step 3:
53 goes into 195 3 times with a remainder of 36.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
The remainder is 36 after subtracting 159 from 195.
Bring next digit (1) of the dividend behind the 36 and repeat the process: 361 / 53

On to step 4:
The number 53 fits into 361 6 times, leaving a remainder of 43.
Record the quotient 6 as the next digit in the result. 
Result so far: 136.0
If we take 318 away from 361, we end up with 43.
Bring next digit (0) of the dividend behind the 43 and repeat the process: 430 / 53

Step 5:
The number 53 fits into 430 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 1368.0
If we subtract 424 from 430, we get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 53

Going ahead to step 6:
If we divide 67 by 53, we get 1 and a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 13681.0
Subtracting 53 from 67 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
140 divided by 53 is 2 with a remainder of 34.
The next digit of our result is 2. 
Result so far: 13681.2
The remainder is 34 after subtracting 106 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
If we divide 340 by 53, we get 6 and a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 13681.26
If we take 318 away from 340, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 9:
220 divided by 53 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 13681.264
Subtracting 212 from 220 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
80 divided by 53 is 1 with a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 13681.2641
Subtract 53 from 80 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 11:
270 divided by 53 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 13681.26415
Subtracting 265 from 270 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 12:
53 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 13681.26415
Subtract 0 from 50 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 13:
The number 53 fits into 500 9 times, leaving a remainder of 23.
Use 9 as the next digit of our solution. 
Result so far: 13681.2641509
Deduct 477 from 500 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 14:
53 can be fit into 230 4 times, resulting in a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 13681.26415094
Deduct 212 from 230 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Our division results in 13681.26415094 with a remaining 1.8e-08.