317416 divided by 13 
We want to figure out the number of times 317416 can be divided by 13.

On to step 1:
13 can be fit into 3 0 times, resulting in 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.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 13

On to step 2:
31 divided by 13 is 2 with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 26 from 31, we get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 13

Advancing to step 3:
The number 13 fits into 57 4 times, leaving a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 24.0
The remainder is 5 after subtracting 52 from 57.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 13

Step 4:
54 divided by 13 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 244.0
Subtracting 52 from 54 leaves us with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 13

Advancing to step 5:
When dividing 21 by 13, we get 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 2441.0
If we take 13 away from 21, we end up with 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 13

Let's proceed to step 6:
13 goes into 86 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 24416.0
The remainder is 8 after subtracting 78 from 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
13 goes into 80 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 24416.6
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.

Advancing to step 8:
13 goes into 20 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 24416.61
The remainder is 7 after subtracting 13 from 20.
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 9:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 24416.615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 24416.6153
If we take 39 away from 50, we end up with 11.
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 11:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 24416.61538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 24416.615384
Deduct 52 from 60 and we're left 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.

Going ahead to step 13:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 24416.6153846
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.

Let's proceed to step 14:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 24416.61538461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 24416.61538461, and the remainder is 7e-09.