459962 divided by 13 
We're looking to find how many times 13 goes into 459962.

Let's proceed to step 1:
13 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 13

Advancing to step 2:
If we divide 45 by 13, we get 3 and a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 39 from 45 to get 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 13

Let's proceed to step 3:
13 can be fit into 69 5 times, resulting in a remainder of 4.
The next digit of our result is 5. 
Result so far: 35.0
The remainder is 4 after subtracting 65 from 69.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 13

Let's proceed to step 4:
When dividing 49 by 13, we get 3 with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 353.0
Deduct 39 from 49 and we're left with 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 13

Let's proceed to step 5:
When dividing 106 by 13, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 3538.0
If we take 104 away from 106, we end up with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 13

Let's proceed to step 6:
The number 13 fits into 22 1 times, leaving a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 35381.0
Subtract 13 from 22 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.

Advancing to step 7:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 35381.6
The remainder is 12 after subtracting 78 from 90.
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:
13 goes into 120 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 35381.69
Subtracting 117 from 120 leaves us 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.

Let's proceed to step 9:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 35381.692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 35381.6923
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.

Let's proceed to step 11:
If we divide 10 by 13, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 35381.6923
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:
100 divided by 13 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 35381.692307
If we take 91 away from 100, 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.

Step 13:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 35381.6923076
If we subtract 78 from 90, we 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.

Advancing to step 14:
13 goes into 120 9 times with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 35381.69230769
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.

Our division results in 35381.69230769 with a remaining 3e-09.