Let's divide 543435 by 13
We're looking to find how many times 13 goes into 543435.

Advancing to step 1:
If we divide 5 by 13, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 13

Going ahead to step 2:
54 divided by 13 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 52 from 54 and we're left with 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 13

Step 3:
If we divide 23 by 13, we get 1 and a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 41.0
The remainder is 10 after subtracting 13 from 23.
Bring next digit (4) of the dividend behind the 10 and repeat the process: 104 / 13

Moving on to step 4:
If we divide 104 by 13, we get 8 and a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 418.0
Deduct 104 from 104 and we're left with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 13

Going ahead to step 5:
13 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 4180.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 13

Step 6:
35 divided by 13 is 2 with a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 41802.0
If we take 26 away from 35, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
The number 13 fits into 90 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 41802.6
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.

Let's proceed to step 8:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 41802.69
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 9:
If we divide 30 by 13, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 41802.692
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.

Let's proceed to step 10:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 41802.6923
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 11:
When dividing 10 by 13, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 41802.6923
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.

On to step 12:
If we divide 100 by 13, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 41802.692307
Deduct 91 from 100 and we're left with 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 13:
13 goes into 90 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 41802.6923076
Subtracting 78 from 90 leaves us 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.

On to step 14:
If we divide 120 by 13, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 41802.69230769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final outcome is 41802.69230769, with a leftover of 3e-09.