312562 divided by 13 
We want to figure out the number of times 312562 can be divided by 13.

Advancing to step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 13

Going ahead to step 2:
If we divide 31 by 13, we get 2 and a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 26 away from 31, we end up with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 13

On to step 3:
If we divide 52 by 13, we get 4 and a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 24.0
Deduct 52 from 52 and we're left with 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 13

Step 4:
When dividing 5 by 13, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 240.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 13

Moving on to step 5:
When dividing 56 by 13, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 2404.0
If we take 52 away from 56, we end up with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 13

Step 6:
42 divided by 13 is 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 24043.0
Subtract 39 from 42 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.

Going ahead to step 7:
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: 24043.2
If we subtract 26 from 30, we 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.

Going ahead to step 8:
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: 24043.23
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.

Let's proceed to step 9:
When dividing 10 by 13, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 24043.23
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
When dividing 100 by 13, we get 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 24043.2307
Subtracting 91 from 100 leaves us 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.

Advancing to step 11:
When dividing 90 by 13, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 24043.23076
If we subtract 78 from 90, we get 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 12:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 24043.230769
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 13:
When dividing 30 by 13, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 24043.2307692
The remainder is 4 after subtracting 26 from 30.
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 14:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 24043.23076923
If we subtract 39 from 40, we 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.

In conclusion, the division gives 24043.23076923 with a balance of 1e-09.