We divide 38557 by 31
We want to divide 38557 by 31.

On to step 1:
31 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 31

On to step 2:
If we divide 38 by 31, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
If we take 31 away from 38, we end up with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 31

Step 3:
31 goes into 75 2 times with a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 62 from 75, we get 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 31

Moving on to step 4:
31 can be fit into 135 4 times, resulting in a remainder of 11.
The next digit of our result is 4. 
Result so far: 124.0
Subtract 124 from 135 to get 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 31

Going ahead to step 5:
31 goes into 117 3 times with a remainder of 24.
The next digit of our result is 3. 
Result so far: 1243.0
If we take 93 away from 117, 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.

Moving on to step 6:
When dividing 240 by 31, we get 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 1243.7
Deduct 217 from 240 and we're left 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.

Going ahead to step 7:
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: 1243.77
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 1243.77, and the remainder is 0.013.