We divide 301415 by 13
Let's see how many times 13 fits into 301415.

On to step 1:
13 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 13

On to step 2:
If we divide 30 by 13, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 26 from 30, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 13

Going ahead to step 3:
41 divided by 13 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
If we subtract 39 from 41, we get 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 13

Moving on to step 4:
When dividing 24 by 13, we get 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 231.0
Subtracting 13 from 24 leaves us with 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 13

On to step 5:
111 divided by 13 is 8 with a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 2318.0
Deduct 104 from 111 and we're left with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 13

Moving on to step 6:
If we divide 75 by 13, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 23185.0
Subtract 65 from 75 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
100 divided by 13 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 23185.7
The remainder is 9 after subtracting 91 from 100.
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 8:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 23185.76
If we take 78 away from 90, we end up 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.

Going ahead to step 9:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 23185.769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 23185.7692
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.

Advancing to step 11:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 23185.76923
Subtract 39 from 40 to 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.

On to step 12:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 23185.76923
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.

Going ahead to step 13:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 23185.7692307
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.

Going ahead to step 14:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 23185.76923076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 23185.76923076 with a remaining 1.2e-08.