We divide 431035 by 13
We want to divide 431035 by 13.

Step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 13

Moving on to step 2:
If we divide 43 by 13, we get 3 and a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 39 from 43, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 13

Let's proceed to step 3:
When dividing 41 by 13, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Subtract 39 from 41 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 13

Step 4:
13 goes into 20 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 331.0
Subtracting 13 from 20 leaves us with 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 13

On to step 5:
13 can be fit into 73 5 times, resulting in a remainder of 8.
Record the quotient 5 as the next digit in the result. 
Result so far: 3315.0
If we take 65 away from 73, we end up with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 13

On to step 6:
The number 13 fits into 85 6 times, leaving a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 33156.0
Subtract 78 from 85 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 33156.5
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 33156.53
Subtracting 39 from 50 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 9:
13 goes into 110 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 33156.538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
If we divide 60 by 13, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 33156.5384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 33156.53846
Subtracting 78 from 80 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.

Advancing to step 12:
When dividing 20 by 13, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 33156.538461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 33156.5384615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 14:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 33156.53846153
Subtract 39 from 50 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.

The final result is 33156.53846153 with a remainder of 1.1e-08.