We're dividing 499234 by 13 
Our goal is to divide 499234 by 13.

Let's proceed to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 13

Moving on to step 2:
49 divided by 13 is 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 39 from 49 and we're left with 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 13

Let's proceed to step 3:
13 can be fit into 109 8 times, resulting in a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
Subtract 104 from 109 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 13

Going ahead to step 4:
When dividing 52 by 13, we get 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 384.0
If we take 52 away from 52, we end up with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 13

On to step 5:
If we divide 3 by 13, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 3840.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 13

Moving on to step 6:
If we divide 34 by 13, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 38402.0
Subtracting 26 from 34 leaves us 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.

Going ahead to step 7:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 38402.6
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.

Going ahead to step 8:
13 goes into 20 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 38402.61
Deduct 13 from 20 and we're left 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.

Advancing to step 9:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 38402.615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
If we divide 50 by 13, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 38402.6153
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.

Advancing to step 11:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 38402.61538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 38402.615384
Subtracting 52 from 60 leaves us 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.

Advancing to step 13:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 38402.6153846
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.

Going ahead to step 14:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 38402.61538461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 38402.61538461 with a remainder of 7e-09.