We're dividing 391965 by 13 
We want to figure out the number of times 391965 can be divided by 13.

Moving on to step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 13

On to step 2:
13 goes into 39 3 times with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 39 from 39, we get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 13

Advancing to step 3:
1 divided by 13 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
If we take 0 away from 1, we end up with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 13

Going ahead to step 4:
13 goes into 19 1 times with a remainder of 6.
The next digit of our result is 1. 
Result so far: 301.0
Subtract 13 from 19 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 13

Let's proceed to step 5:
66 divided by 13 is 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 3015.0
Deduct 65 from 66 and we're left with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 13

Moving on to step 6:
15 divided by 13 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 30151.0
If we take 13 away from 15, we end up 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.

Advancing to step 7:
If we divide 20 by 13, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 30151.1
If we take 13 away from 20, we end up 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.

Going ahead to step 8:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 30151.15
Deduct 65 from 70 and we're left 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.

On to step 9:
50 divided by 13 is 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 30151.153
Subtracting 39 from 50 leaves us 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.

On to step 10:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 30151.1538
If we take 104 away from 110, we end up 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.

Step 11:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 30151.15384
Subtract 52 from 60 to get 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 12:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 30151.153846
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.

On to step 13:
If we divide 20 by 13, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 30151.1538461
If we take 13 away from 20, we end up 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.

Let's proceed to step 14:
13 goes into 70 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 30151.15384615
Deduct 65 from 70 and we're left 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.

Our division results in 30151.15384615 with a remaining 5e-09.