We're dividing 434029 by 31 
We want to divide 434029 by 31.

Step 1:
The number 31 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
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

Advancing to step 2:
31 goes into 43 1 times with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 31 from 43, we get 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 31

On to step 3:
31 goes into 124 4 times with a remainder of 0.
The next digit of our result is 4. 
Result so far: 14.0
If we subtract 124 from 124, we get 0.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 31

Going ahead to step 4:
0 divided by 31 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 140.0
If we subtract 0 from 0, we get 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 31

Going ahead to step 5:
31 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 1400.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 31

Moving on to step 6:
29 divided by 31 is 0 with a remainder of 29.
The next digit of our result is 0. 
Result so far: 14000.0
The remainder is 29 after subtracting 0 from 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
If we divide 290 by 31, we get 9 and a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 14000.9
Subtract 279 from 290 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
The number 31 fits into 110 3 times, leaving a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 14000.93
The remainder is 17 after subtracting 93 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 9:
If we divide 170 by 31, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 14000.935
Deduct 155 from 170 and we're left 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.

Going ahead to step 10:
When dividing 150 by 31, we get 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 14000.9354
Subtract 124 from 150 to 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 11:
When dividing 260 by 31, we get 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 14000.93548
Deduct 248 from 260 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
If we divide 120 by 31, we get 3 and a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 14000.935483
If we subtract 93 from 120, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 13:
31 can be fit into 270 8 times, resulting in a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 14000.9354838
If we take 248 away from 270, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 14:
The number 31 fits into 220 7 times, leaving a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 14000.93548387
Subtract 217 from 220 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 14000.93548387 with a balance of 3e-09.