We divide 725593 by 31
Our goal is to divide 725593 by 31.

Advancing to step 1:
If we divide 7 by 31, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (2) from the dividend after 7, then repeat: 72 / 31

Going ahead to step 2:
31 goes into 72 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 62 from 72 leaves us with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 31

Moving on to step 3:
105 divided by 31 is 3 with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
The remainder is 12 after subtracting 93 from 105.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 31

Let's proceed to step 4:
125 divided by 31 is 4 with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 234.0
Deduct 124 from 125 and we're left with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 31

On to step 5:
The number 31 fits into 19 0 times, leaving a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 2340.0
Subtract 0 from 19 to get 19.
Fetch the next digit (3) from the dividend, attach it to 19 and continue: 193 / 31

Let's proceed to step 6:
31 can be fit into 193 6 times, resulting in a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 23406.0
Subtract 186 from 193 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
If we divide 70 by 31, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 23406.2
Deduct 62 from 70 and we're left 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 8:
31 can be fit into 80 2 times, resulting in a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 23406.22
Deduct 62 from 80 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.

The final result is 23406.22 with a remainder of 0.018.