205564 ÷ 31 
We want to figure out the number of times 205564 can be divided by 31.

Moving on to step 1:
When dividing 2 by 31, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 31

Advancing to step 2:
The number 31 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 20, we end up with 20.
Bring next digit (5) of the dividend behind the 20 and repeat the process: 205 / 31

Going ahead to step 3:
The number 31 fits into 205 6 times, leaving a remainder of 19.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 186 from 205, we get 19.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 31

Advancing to step 4:
If we divide 195 by 31, we get 6 and a remainder of 9.
The next digit of our result is 6. 
Result so far: 66.0
If we subtract 186 from 195, we get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 31

Let's proceed to step 5:
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: 663.0
The remainder is 3 after subtracting 93 from 96.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 31

Let's proceed to step 6:
When dividing 34 by 31, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 6631.0
Subtracting 31 from 34 leaves us 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.

Step 7:
30 divided by 31 is 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 6631.0
Deduct 0 from 30 and we're left 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 8:
31 goes into 300 9 times with a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 6631.09
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.

Going ahead to step 9:
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: 6631.096
Deduct 186 from 210 and we're left 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.

Let's proceed to step 10:
The number 31 fits into 240 7 times, leaving a remainder of 23.
The next digit of our result is 7. 
Result so far: 6631.0967
Subtracting 217 from 240 leaves us 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 11:
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: 6631.09677
Deduct 217 from 230 and we're left 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 final result is 6631.09677 with a remainder of 1.3e-05.