We look at the division of 25137 by 31 
We want to figure out the number of times 25137 can be divided by 31.

Moving on to step 1:
2 divided by 31 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 31

Advancing to step 2:
The number 31 fits into 25 0 times, leaving a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Append the next digit (1) from the dividend to 25 and continue with: 251 / 31

Moving on to step 3:
31 can be fit into 251 8 times, resulting in a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 248 from 251 to get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 31

Moving on to step 4:
31 goes into 33 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 81.0
If we take 31 away from 33, we end up with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 31

On to step 5:
31 can be fit into 27 0 times, resulting in a remainder of 27.
The next digit of our result is 0. 
Result so far: 810.0
If we subtract 0 from 27, we 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.

On to step 6:
270 divided by 31 is 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 810.8
If we subtract 248 from 270, we get 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 7:
If we divide 220 by 31, we get 7 and a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 810.87
If we take 217 away from 220, we end up 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 8:
If we divide 30 by 31, we get 0 and a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 810.87
Subtracting 0 from 30 leaves us 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.

Let's proceed to step 9:
The number 31 fits into 300 9 times, leaving a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 810.8709
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.

Step 10:
31 can be fit into 210 6 times, resulting in a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 810.87096
If we subtract 186 from 210, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
31 goes into 240 7 times with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 810.870967
If we take 217 away from 240, we end up 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.

Moving on to step 12:
31 can be fit into 230 7 times, resulting in a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 810.8709677
Subtracting 217 from 230 leaves us 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.

The quotient of the division is 810.8709677, and the remainder is 1.3e-07.