Let's divide 15925 by 31
We want to divide 15925 by 31.

On to step 1:
31 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 31

Going ahead to step 2:
31 can be fit into 15 0 times, resulting in a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Take the next digit (9) from the dividend and append it to 15, then repeat: 159 / 31

Advancing to step 3:
When dividing 159 by 31, we get 5 with a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 155 from 159 and we're left with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 31

Moving on to step 4:
42 divided by 31 is 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 51.0
The remainder is 11 after subtracting 31 from 42.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 31

On to step 5:
When dividing 115 by 31, we get 3 with a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 513.0
Deduct 93 from 115 and we're left 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.

Step 6:
If we divide 220 by 31, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 513.7
Deduct 217 from 220 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
The number 31 fits into 30 0 times, leaving a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 513.7
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
If we divide 300 by 31, we get 9 and a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 513.709
Subtracting 279 from 300 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
When dividing 210 by 31, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 513.7096
If we take 186 away from 210, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
The number 31 fits into 240 7 times, leaving a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 513.70967
Subtract 217 from 240 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 11:
If we divide 230 by 31, we get 7 and a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 513.709677
If we take 217 away from 230, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 513.709677 with a balance of 1.3e-06.