Let's divide 205870 by 31
We want to divide 205870 by 31.

Advancing to step 1:
The number 31 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 31

Step 2:
31 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
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

Step 3:
When dividing 205 by 31, we get 6 with a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 186 from 205, we get 19.
Grab the next digit (8) from the dividend, add it to 19, then carry on: 198 / 31

Going ahead to step 4:
The number 31 fits into 198 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
If we take 186 away from 198, we end up with 12.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 31

On to step 5:
When dividing 127 by 31, we get 4 with a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 664.0
Subtract 124 from 127 to get 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 31

Advancing to step 6:
31 can be fit into 30 0 times, resulting in a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 6640.0
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.

Moving on to step 7:
31 can be fit into 300 9 times, resulting in a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 6640.9
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.

Moving on to step 8:
31 goes into 210 6 times with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 6640.96
Subtracting 186 from 210 leaves us 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.

On to step 9:
The number 31 fits into 240 7 times, leaving a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 6640.967
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.

Step 10:
31 can be fit into 230 7 times, resulting in a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 6640.9677
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.

The quotient of the division is 6640.9677, and the remainder is 0.00013.