434333 ÷ 31 
Our goal is to divide 434333 by 31.

On to step 1:
31 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 31

On to step 2:
31 goes into 43 1 times with a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 31 from 43 and we're left with 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 31

Advancing to step 3:
31 goes into 124 4 times with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Deduct 124 from 124 and we're left with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 31

Going ahead to step 4:
31 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 140.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 31

Moving on to step 5:
31 can be fit into 33 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1401.0
Subtract 31 from 33 to get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 31

Going ahead to step 6:
31 goes into 23 0 times with a remainder of 23.
Record the quotient 0 as the next digit in the result. 
Result so far: 14010.0
Deduct 0 from 23 and we're left 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.

On to step 7:
When dividing 230 by 31, we get 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 14010.7
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.

On to step 8:
The number 31 fits into 130 4 times, leaving a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 14010.74
Subtract 124 from 130 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
The number 31 fits into 60 1 times, leaving a remainder of 29.
The next digit of our result is 1. 
Result so far: 14010.741
Subtracting 31 from 60 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 10:
The number 31 fits into 290 9 times, leaving a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 14010.7419
Subtracting 279 from 290 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 11:
If we divide 110 by 31, we get 3 and a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 14010.74193
If we subtract 93 from 110, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 12:
When dividing 170 by 31, we get 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 14010.741935
Subtracting 155 from 170 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 13:
31 can be fit into 150 4 times, resulting in a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 14010.7419354
If we subtract 124 from 150, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 14:
The number 31 fits into 260 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 14010.74193548
If we subtract 248 from 260, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 14010.74193548 with a balance of 1.2e-08.