We divide 391413 by 13
Our goal is to divide 391413 by 13.

On to step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 13

Moving on to step 2:
13 goes into 39 3 times with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 39 from 39 and we're left with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 13

Moving on to step 3:
13 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 30.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 13

Step 4:
13 goes into 14 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 301.0
The remainder is 1 after subtracting 13 from 14.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 13

Advancing to step 5:
If we divide 11 by 13, we get 0 and a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 3010.0
The remainder is 11 after subtracting 0 from 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 13

Let's proceed to step 6:
When dividing 113 by 13, we get 8 with a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 30108.0
If we subtract 104 from 113, 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.

Advancing to step 7:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 30108.6
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.

On to step 8:
When dividing 120 by 13, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 30108.69
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.

Moving on to step 9:
13 goes into 30 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 30108.692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
If we divide 40 by 13, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 30108.6923
If we subtract 39 from 40, we get 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 11:
If we divide 10 by 13, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 30108.6923
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.

Let's proceed to step 12:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 30108.692307
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.

Let's proceed to step 13:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 30108.6923076
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.
The next digit of our result is 9. 
Result so far: 30108.69230769
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.

In conclusion, the division gives 30108.69230769 with a balance of 3e-09.