370314 divided by 13 
We're looking to find how many times 13 goes into 370314.

Going ahead to step 1:
If we divide 3 by 13, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 13

Let's proceed to step 2:
37 divided by 13 is 2 with a remainder of 11.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 26 from 37 and we're left with 11.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 13

On to step 3:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 28.0
Subtracting 104 from 110 leaves us with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 13

Moving on to step 4:
When dividing 63 by 13, we get 4 with a remainder of 11.
The next digit of our result is 4. 
Result so far: 284.0
If we take 52 away from 63, we end up with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 13

Going ahead to step 5:
13 can be fit into 111 8 times, resulting in a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 2848.0
Deduct 104 from 111 and we're left with 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 13

Going ahead to step 6:
If we divide 74 by 13, we get 5 and a remainder of 9.
The next digit of our result is 5. 
Result so far: 28485.0
Deduct 65 from 74 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
If we divide 90 by 13, we get 6 and a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 28485.6
Deduct 78 from 90 and we're left 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.

On to step 8:
13 goes into 120 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 28485.69
If we subtract 117 from 120, we 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.

Going ahead to step 9:
30 divided by 13 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 28485.692
Subtracting 26 from 30 leaves us 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.

On to step 10:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 28485.6923
If we take 39 away from 40, we end up with 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:
When dividing 10 by 13, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 28485.6923
If we subtract 0 from 10, we 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.

Step 12:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 28485.692307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 13:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 28485.6923076
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.

Advancing to step 14:
13 goes into 120 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 28485.69230769
If we subtract 117 from 120, we 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.

The final outcome is 28485.69230769, with a leftover of 3e-09.