Let's divide 935829 by 31
We want to figure out the number of times 935829 can be divided by 31.

Advancing to step 1:
31 can be fit into 9 0 times, resulting in a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Bring next digit (3) of the dividend behind the 9 and repeat the process: 93 / 31

Step 2:
31 can be fit into 93 3 times, resulting in a remainder of 0.
The next digit of our result is 3. 
Result so far: 3.0
If we take 93 away from 93, we end up with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 31

Step 3:
When dividing 5 by 31, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 30.0
Subtract 0 from 5 to get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 31

Going ahead to step 4:
31 can be fit into 58 1 times, resulting in a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 301.0
If we subtract 31 from 58, we get 27.
Grab the next digit (2) from the dividend, add it to 27, then carry on: 272 / 31

Step 5:
The number 31 fits into 272 8 times, leaving a remainder of 24.
The next digit of our result is 8. 
Result so far: 3018.0
Deduct 248 from 272 and we're left with 24.
Append the next digit (9) from the dividend to 24 and continue with: 249 / 31

Let's proceed to step 6:
The number 31 fits into 249 8 times, leaving a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 30188.0
Deduct 248 from 249 and we're left 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.

Step 7:
If we divide 10 by 31, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 30188.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
When dividing 100 by 31, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 30188.03
Deduct 93 from 100 and we're left with 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 9:
If we divide 70 by 31, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 30188.032
Deduct 62 from 70 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
The number 31 fits into 80 2 times, leaving a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 30188.0322
The remainder is 18 after subtracting 62 from 80.
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 30188.0322 and a remainder of 0.00018.