We look at the division of 31935 by 66 
We're looking to find how many times 66 goes into 31935.

Step 1:
The number 66 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 66

Advancing to step 2:
When dividing 31 by 66, we get 0 with a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 31, we end up with 31.
Take the next digit (9) from the dividend and append it to 31, then repeat: 319 / 66

Let's proceed to step 3:
If we divide 319 by 66, we get 4 and a remainder of 55.
The next digit of our result is 4. 
Result so far: 4.0
If we take 264 away from 319, we end up with 55.
Take the next digit (3) from the dividend and append it to 55, then repeat: 553 / 66

Step 4:
66 goes into 553 8 times with a remainder of 25.
Use 8 as the next digit of our solution. 
Result so far: 48.0
The remainder is 25 after subtracting 528 from 553.
Grab the next digit (5) from the dividend, add it to 25, then carry on: 255 / 66

Let's proceed to step 5:
The number 66 fits into 255 3 times, leaving a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 483.0
Subtracting 198 from 255 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 6:
66 can be fit into 570 8 times, resulting in a remainder of 42.
The next digit of our result is 8. 
Result so far: 483.8
If we take 528 away from 570, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 7:
The number 66 fits into 420 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 483.86
If we subtract 396 from 420, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 8:
When dividing 240 by 66, we get 3 with a remainder of 42.
The next digit of our result is 3. 
Result so far: 483.863
The remainder is 42 after subtracting 198 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 9:
66 can be fit into 420 6 times, resulting in a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 483.8636
The remainder is 24 after subtracting 396 from 420.
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 10:
66 can be fit into 240 3 times, resulting in a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 483.86363
If we subtract 198 from 240, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 11:
When dividing 420 by 66, we get 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 483.863636
The remainder is 24 after subtracting 396 from 420.
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 12:
When dividing 240 by 66, we get 3 with a remainder of 42.
The next digit of our result is 3. 
Result so far: 483.8636363
Subtracting 198 from 240 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 13:
66 can be fit into 420 6 times, resulting in a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 483.86363636
If we subtract 396 from 420, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 483.86363636 with a balance of 2.4e-08.