313780 divided by 13 
We're looking to find how many times 13 goes into 313780.

Moving on to step 1:
If we divide 3 by 13, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 13

Moving on to step 2:
When dividing 31 by 13, we get 2 with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 26 from 31 leaves us with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 13

Step 3:
13 goes into 53 4 times with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
If we take 52 away from 53, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 13

Let's proceed to step 4:
When dividing 17 by 13, we get 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 241.0
Deduct 13 from 17 and we're left with 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 13

Step 5:
The number 13 fits into 48 3 times, leaving a remainder of 9.
The next digit of our result is 3. 
Result so far: 2413.0
Deduct 39 from 48 and we're left with 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 13

Let's proceed to step 6:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 24136.0
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.

Moving on to step 7:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 24136.9
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.

Let's proceed to step 8:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 24136.92
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 24136.923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
10 divided by 13 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 24136.923
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.

On to step 11:
If we divide 100 by 13, we get 7 and a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 24136.92307
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.

Moving on to step 12:
90 divided by 13 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 24136.923076
Subtracting 78 from 90 leaves us 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.

Step 13:
13 goes into 120 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 24136.9230769
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.

Moving on to step 14:
30 divided by 13 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 24136.92307692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 24136.92307692, with a leftover of 4e-09.