Let's divide 434262 by 13
We want to divide 434262 by 13.

Going ahead to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 13

Let's proceed to step 2:
When dividing 43 by 13, we get 3 with a remainder of 4.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 39 from 43 and we're left with 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 13

Moving on to step 3:
The number 13 fits into 44 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 33.0
Deduct 39 from 44 and we're left with 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 13

Let's proceed to step 4:
If we divide 52 by 13, we get 4 and a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 334.0
Deduct 52 from 52 and we're left with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 13

Advancing to step 5:
The number 13 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 3340.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 13

Let's proceed to step 6:
13 goes into 62 4 times with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 33404.0
If we take 52 away from 62, we end up with 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 7:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 33404.7
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 8:
90 divided by 13 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 33404.76
If we subtract 78 from 90, 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.

Let's proceed to step 9:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 33404.769
Subtract 117 from 120 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.

Advancing to step 10:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 33404.7692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 33404.76923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 12:
10 divided by 13 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 33404.76923
If we take 0 away from 10, we end up with 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 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 33404.7692307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 14:
If we divide 90 by 13, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 33404.76923076
The remainder is 12 after subtracting 78 from 90.
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 33404.76923076 with a balance of 1.2e-08.