395377 ÷ 13 
Our goal is to divide 395377 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
If we take 0 away from 3, we end up with 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 13

Step 2:
If we divide 39 by 13, we get 3 and a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 39 from 39 leaves us with 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 13

Moving on to step 3:
5 divided by 13 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 30.0
Subtract 0 from 5 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 13

On to step 4:
13 can be fit into 53 4 times, resulting in a remainder of 1.
The next digit of our result is 4. 
Result so far: 304.0
Subtracting 52 from 53 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 13

Going ahead to step 5:
If we divide 17 by 13, we get 1 and a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 3041.0
Subtracting 13 from 17 leaves us with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 13

On to step 6:
13 can be fit into 47 3 times, resulting in a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 30413.0
Subtracting 39 from 47 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.

On to step 7:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 30413.6
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.

On to step 8:
When dividing 20 by 13, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 30413.61
If we subtract 13 from 20, we 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.

Moving on to step 9:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 30413.615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
If we divide 50 by 13, we get 3 and a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 30413.6153
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:
When dividing 110 by 13, we get 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 30413.61538
Subtracting 104 from 110 leaves us 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.

Going ahead to step 12:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 30413.615384
Deduct 52 from 60 and we're left 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.

Moving on to step 13:
When dividing 80 by 13, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 30413.6153846
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.

Step 14:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 30413.61538461
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 outcome is 30413.61538461, with a leftover of 7e-09.