We're dividing 306008 by 13 
We want to figure out the number of times 306008 can be divided by 13.

On to step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 13

Advancing to step 2:
30 divided by 13 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 26 from 30 to get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 13

Let's proceed to step 3:
The number 13 fits into 46 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 23.0
Subtract 39 from 46 to get 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 13

On to step 4:
If we divide 70 by 13, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 235.0
Subtracting 65 from 70 leaves us with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 13

Step 5:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 2353.0
Deduct 39 from 50 and we're left with 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 13

Let's proceed to step 6:
13 goes into 118 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 23539.0
Subtracting 117 from 118 leaves us 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.

Advancing to step 7:
13 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 23539.0
Subtracting 0 from 10 leaves us 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.

Let's proceed to step 8:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 23539.07
Subtract 91 from 100 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.

On to step 9:
When dividing 90 by 13, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 23539.076
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.

Moving on to step 10:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 23539.0769
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.

On to step 11:
If we divide 30 by 13, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 23539.07692
If we subtract 26 from 30, we 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.

On to step 12:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 23539.076923
Subtracting 39 from 40 leaves us 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 13:
13 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 23539.076923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
When dividing 100 by 13, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 23539.07692307
If we subtract 91 from 100, we 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.

In conclusion, the division gives 23539.07692307 with a balance of 9e-09.