Let's divide 434039 by 31
Our goal is to divide 434039 by 31.

Let's proceed to step 1:
When dividing 4 by 31, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 31

Moving on to step 2:
31 can be fit into 43 1 times, resulting in a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 31 from 43, we get 12.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 31

On to step 3:
When dividing 124 by 31, we get 4 with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 14.0
If we take 124 away from 124, we end up with 0.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 31

Advancing to step 4:
31 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 140.0
Deduct 0 from 0 and we're left with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 31

Moving on to step 5:
When dividing 3 by 31, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 1400.0
Subtract 0 from 3 to get 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 31

On to step 6:
The number 31 fits into 39 1 times, leaving a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 14001.0
Subtracting 31 from 39 leaves us 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.

Moving on to step 7:
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: 14001.2
If we subtract 62 from 80, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
When dividing 180 by 31, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 14001.25
Subtracting 155 from 180 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
The number 31 fits into 250 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 14001.258
Subtracting 248 from 250 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 10:
When dividing 20 by 31, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 14001.258
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
If we divide 200 by 31, we get 6 and a remainder of 14.
The next digit of our result is 6. 
Result so far: 14001.25806
Subtract 186 from 200 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 12:
140 divided by 31 is 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 14001.258064
If we take 124 away from 140, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 13:
When dividing 160 by 31, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 14001.2580645
The remainder is 5 after subtracting 155 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
31 can be fit into 50 1 times, resulting in a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 14001.25806451
If we subtract 31 from 50, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final result is 14001.25806451 with a remainder of 1.9e-08.