Let's divide 643953 by 31
Let's see how many times 31 fits into 643953.

Advancing to step 1:
If we divide 6 by 31, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 31

Moving on to step 2:
If we divide 64 by 31, we get 2 and a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 62 from 64 leaves us with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 31

Moving on to step 3:
31 can be fit into 23 0 times, resulting in a remainder of 23.
Write down 0 as next digit of the result. 
Result so far: 20.0
If we take 0 away from 23, we end up with 23.
Include the next digit (9) from the dividend after 23, then repeat: 239 / 31

Moving on to step 4:
239 divided by 31 is 7 with a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 207.0
Subtracting 217 from 239 leaves us with 22.
Include the next digit (5) from the dividend after 22, then repeat: 225 / 31

Step 5:
The number 31 fits into 225 7 times, leaving a remainder of 8.
The next digit of our result is 7. 
Result so far: 2077.0
Subtracting 217 from 225 leaves us with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 31

Step 6:
83 divided by 31 is 2 with a remainder of 21.
The next digit of our result is 2. 
Result so far: 20772.0
Deduct 62 from 83 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.

Advancing to step 7:
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: 20772.6
If we take 186 away from 210, 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.

Advancing to step 8:
31 goes into 240 7 times with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 20772.67
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.

Moving on to step 9:
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: 20772.677
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.

Our division results in 20772.677 with a remaining 0.0013.