We look at the division of 635969 by 31 
Let's see how many times 31 fits into 635969.

Moving on to step 1:
When dividing 6 by 31, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 31

Going ahead to step 2:
The number 31 fits into 63 2 times, leaving a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 62 from 63 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 31

On to step 3:
15 divided by 31 is 0 with a remainder of 15.
The next digit of our result is 0. 
Result so far: 20.0
The remainder is 15 after subtracting 0 from 15.
Take the next digit (9) from the dividend and append it to 15, then repeat: 159 / 31

Step 4:
If we divide 159 by 31, we get 5 and a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 205.0
Deduct 155 from 159 and we're left with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 31

Going ahead to step 5:
When dividing 46 by 31, we get 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 2051.0
Subtract 31 from 46 to get 15.
Include the next digit (9) from the dividend after 15, then repeat: 159 / 31

Moving on to step 6:
When dividing 159 by 31, we get 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 20515.0
Deduct 155 from 159 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
The number 31 fits into 40 1 times, leaving a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 20515.1
Subtract 31 from 40 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 8:
The number 31 fits into 90 2 times, leaving a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 20515.12
Subtract 62 from 90 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
When dividing 280 by 31, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 20515.129
If we take 279 away from 280, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
31 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 20515.129
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
100 divided by 31 is 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 20515.12903
If we subtract 93 from 100, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 12:
If we divide 70 by 31, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 20515.129032
If we subtract 62 from 70, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
31 can be fit into 80 2 times, resulting in a remainder of 18.
The next digit of our result is 2. 
Result so far: 20515.1290322
Deduct 62 from 80 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 20515.1290322 and a remainder of 1.8e-07.