We're dividing 19852 by 31 
Our goal is to divide 19852 by 31.

Moving on to step 1:
1 divided by 31 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 31

Going ahead to step 2:
The number 31 fits into 19 0 times, leaving a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 19 after subtracting 0 from 19.
Include the next digit (8) from the dividend after 19, then repeat: 198 / 31

Let's proceed to step 3:
If we divide 198 by 31, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 186 from 198 and we're left with 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 31

Step 4:
The number 31 fits into 125 4 times, leaving a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 64.0
If we take 124 away from 125, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 31

Moving on to step 5:
When dividing 12 by 31, we get 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 640.0
Deduct 0 from 12 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 6:
31 goes into 120 3 times with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 640.3
If we take 93 away from 120, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 7:
The number 31 fits into 270 8 times, leaving a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 640.38
Subtracting 248 from 270 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 8:
If we divide 220 by 31, we get 7 and a remainder of 3.
The next digit of our result is 7. 
Result so far: 640.387
If we subtract 217 from 220, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 9:
31 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 640.387
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
31 goes into 300 9 times with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 640.38709
Deduct 279 from 300 and we're left 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.

On to step 11:
31 can be fit into 210 6 times, resulting in a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 640.387096
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.

Going ahead to step 12:
31 goes into 240 7 times with a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 640.3870967
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.

Advancing to step 13:
230 divided by 31 is 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 640.38709677
Subtract 217 from 230 to get 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 640.38709677, and the remainder is 1.3e-08.