543263 ÷ 13 
Let's see how many times 13 fits into 543263.

On to step 1:
13 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 13

Step 2:
13 can be fit into 54 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 52 from 54 leaves us with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 13

Advancing to step 3:
When dividing 23 by 13, we get 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 41.0
The remainder is 10 after subtracting 13 from 23.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 13

Moving on to step 4:
13 goes into 102 7 times with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 417.0
Subtracting 91 from 102 leaves us with 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 13

On to step 5:
13 can be fit into 116 8 times, resulting in a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 4178.0
Subtracting 104 from 116 leaves us with 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 13

Step 6:
13 can be fit into 123 9 times, resulting in a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 41789.0
Subtract 117 from 123 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 41789.4
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.

Moving on to step 8:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 41789.46
Subtract 78 from 80 to get 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 9:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 41789.461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 10:
When dividing 70 by 13, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 41789.4615
If we subtract 65 from 70, we 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.

Step 11:
50 divided by 13 is 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 41789.46153
Deduct 39 from 50 and we're left 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 12:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 41789.461538
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.

Going ahead to step 13:
13 goes into 60 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 41789.4615384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 14:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 41789.46153846
Deduct 78 from 80 and we're left 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.

The final outcome is 41789.46153846, with a leftover of 2e-09.