We look at the division of 205188 by 31 
We want to divide 205188 by 31.

Going ahead to step 1:
2 divided by 31 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 31

Going ahead to step 2:
20 divided by 31 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 20 leaves us with 20.
Grab the next digit (5) from the dividend, add it to 20, then carry on: 205 / 31

Moving on to step 3:
When dividing 205 by 31, we get 6 with a remainder of 19.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 186 from 205 to get 19.
Fetch the next digit (1) from the dividend, attach it to 19 and continue: 191 / 31

Step 4:
When dividing 191 by 31, we get 6 with a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 66.0
If we take 186 away from 191, we end up with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 31

Let's proceed to step 5:
31 goes into 58 1 times with a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 661.0
Deduct 31 from 58 and we're left with 27.
Take the next digit (8) from the dividend and append it to 27, then repeat: 278 / 31

Let's proceed to step 6:
31 can be fit into 278 8 times, resulting in a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 6618.0
If we take 248 away from 278, we end up 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.

Going ahead to step 7:
When dividing 300 by 31, we get 9 with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 6618.9
Subtract 279 from 300 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 8:
If we divide 210 by 31, we get 6 and a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 6618.96
The remainder is 24 after subtracting 186 from 210.
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 9:
240 divided by 31 is 7 with a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 6618.967
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.

On to step 10:
31 goes into 230 7 times with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 6618.9677
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.

In conclusion, the division gives 6618.9677 with a balance of 0.00013.