We look at the division of 368113 by 13 
We're looking to find how many times 13 goes into 368113.

Advancing to step 1:
13 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 13

Advancing to step 2:
36 divided by 13 is 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 26 from 36 to get 10.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 13

Moving on to step 3:
108 divided by 13 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 28.0
Subtracting 104 from 108 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 13

Step 4:
41 divided by 13 is 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 283.0
If we take 39 away from 41, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 13

Advancing to step 5:
When dividing 21 by 13, we get 1 with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 2831.0
If we take 13 away from 21, we end up with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 13

Let's proceed to step 6:
When dividing 83 by 13, we get 6 with a remainder of 5.
The next digit of our result is 6. 
Result so far: 28316.0
Subtracting 78 from 83 leaves us 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.

Moving on to step 7:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 28316.3
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
If we divide 110 by 13, we get 8 and a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 28316.38
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 28316.384
Subtracting 52 from 60 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.

Step 10:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 28316.3846
If we take 78 away from 80, 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.

Going ahead to step 11:
When dividing 20 by 13, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 28316.38461
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 12:
If we divide 70 by 13, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 28316.384615
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.

Advancing to step 13:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 28316.3846153
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.

On to step 14:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 28316.38461538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 28316.38461538 with a remainder of 6e-09.