Let's divide 314517 by 15
We want to figure out the number of times 314517 can be divided by 15.

On to step 1:
15 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 15

Advancing to step 2:
31 divided by 15 is 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 30 from 31, we get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 15

Step 3:
14 divided by 15 is 0 with a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
Subtracting 0 from 14 leaves us with 14.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 15

Step 4:
15 goes into 145 9 times with a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 209.0
Subtracting 135 from 145 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 15

On to step 5:
15 can be fit into 101 6 times, resulting in a remainder of 11.
Write down 6 as next digit of the result. 
Result so far: 2096.0
The remainder is 11 after subtracting 90 from 101.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 15

Advancing to step 6:
When dividing 117 by 15, we get 7 with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 20967.0
If we subtract 105 from 117, 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 7:
120 divided by 15 is 8 with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 20967.8
The remainder is 0 after subtracting 120 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
0 divided by 15 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 20967.8
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
When dividing 0 by 15, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 20967.8
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 20967.8 with a remaining 0.0.