We look at the division of 436940 by 13 
Our goal is to divide 436940 by 13.

Moving on to step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 13

Advancing to step 2:
The number 13 fits into 43 3 times, leaving a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 39 from 43, we get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 13

Let's proceed to step 3:
46 divided by 13 is 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
The remainder is 7 after subtracting 39 from 46.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 13

Step 4:
79 divided by 13 is 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 336.0
Deduct 78 from 79 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 13

Moving on to step 5:
13 can be fit into 14 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 3361.0
If we take 13 away from 14, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 13

Moving on to step 6:
10 divided by 13 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 33610.0
Deduct 0 from 10 and we're left 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.

Moving on to step 7:
100 divided by 13 is 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 33610.7
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.

On to step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 33610.76
Subtract 78 from 90 to 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.

Moving on to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 33610.769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 33610.7692
If we take 26 away from 30, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
40 divided by 13 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 33610.76923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 12:
10 divided by 13 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 33610.76923
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
If we divide 100 by 13, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 33610.7692307
Subtract 91 from 100 to 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.

Moving on to step 14:
When dividing 90 by 13, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 33610.76923076
Subtract 78 from 90 to 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.

The final result is 33610.76923076 with a remainder of 1.2e-08.