725315 divided by 13 
Our goal is to divide 725315 by 13.

Moving on to step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our 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 / 13

Step 2:
13 can be fit into 72 5 times, resulting in a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 65 from 72 leaves us with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 13

Advancing to step 3:
When dividing 75 by 13, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
Subtract 65 from 75 to get 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 13

On to step 4:
When dividing 103 by 13, we get 7 with a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 557.0
Deduct 91 from 103 and we're left with 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 13

Going ahead to step 5:
If we divide 121 by 13, we get 9 and a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 5579.0
The remainder is 4 after subtracting 117 from 121.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 13

Step 6:
45 divided by 13 is 3 with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 55793.0
Deduct 39 from 45 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 55793.4
Subtracting 52 from 60 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.

Step 8:
If we divide 80 by 13, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 55793.46
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
20 divided by 13 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 55793.461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 55793.4615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 11:
If we divide 50 by 13, we get 3 and a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 55793.46153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 12:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 55793.461538
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
60 divided by 13 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 55793.4615384
Subtracting 52 from 60 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 14:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 55793.46153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 55793.46153846, with a leftover of 2e-09.