We look at the division of 538959 by 13 
We want to divide 538959 by 13.

Advancing to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 13

Going ahead to step 2:
The number 13 fits into 53 4 times, leaving a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 52 from 53 leaves us with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 13

Let's proceed to step 3:
13 goes into 18 1 times with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
If we take 13 away from 18, we end up with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 13

Advancing to step 4:
13 goes into 59 4 times with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 414.0
If we subtract 52 from 59, we get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 13

Going ahead to step 5:
The number 13 fits into 75 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 4145.0
Deduct 65 from 75 and we're left with 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 13

Let's proceed to step 6:
If we divide 109 by 13, we get 8 and a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 41458.0
If we subtract 104 from 109, 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 7:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 41458.3
If we subtract 39 from 50, we 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.

On to step 8:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 41458.38
If we subtract 104 from 110, we 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.

Moving on to step 9:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 41458.384
Deduct 52 from 60 and we're left 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.

Let's proceed to step 10:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 41458.3846
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.

Moving on to step 11:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 41458.38461
Subtracting 13 from 20 leaves us 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.

Moving on to step 12:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 41458.384615
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.

Advancing to step 13:
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: 41458.3846153
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.

Let's proceed to step 14:
When dividing 110 by 13, we get 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 41458.38461538
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.

In conclusion, the division gives 41458.38461538 with a balance of 6e-09.