Let's divide 257603 by 31
Let's see how many times 31 fits into 257603.

Going ahead to step 1:
If we divide 2 by 31, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 31

Advancing to step 2:
When dividing 25 by 31, we get 0 with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 31

Advancing to step 3:
257 divided by 31 is 8 with a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 9 after subtracting 248 from 257.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 31

Advancing to step 4:
When dividing 96 by 31, we get 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 83.0
Subtract 93 from 96 to get 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 31

Advancing to step 5:
The number 31 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 830.0
Subtract 0 from 30 to get 30.
Bring next digit (3) of the dividend behind the 30 and repeat the process: 303 / 31

Going ahead to step 6:
When dividing 303 by 31, we get 9 with a remainder of 24.
The next digit of our result is 9. 
Result so far: 8309.0
Subtract 279 from 303 to 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.

On to step 7:
31 goes into 240 7 times with a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 8309.7
If we subtract 217 from 240, we 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.

Going ahead to step 8:
When dividing 230 by 31, we get 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 8309.77
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.

After the division, we end up with 8309.77 and a remainder of 0.013.