564314 ÷ 15 
Our goal is to divide 564314 by 15.

On to step 1:
The number 15 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 15

Moving on to step 2:
15 can be fit into 56 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 45 away from 56, we end up with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 15

Advancing to step 3:
The number 15 fits into 114 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 37.0
Subtract 105 from 114 to get 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 15

Going ahead to step 4:
When dividing 93 by 15, we get 6 with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 376.0
Subtracting 90 from 93 leaves us with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 15

On to step 5:
31 divided by 15 is 2 with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 3762.0
If we take 30 away from 31, we end up with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 15

Moving on to step 6:
If we divide 14 by 15, we get 0 and a remainder of 14.
The next digit of our result is 0. 
Result so far: 37620.0
Subtracting 0 from 14 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
15 goes into 140 9 times with a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 37620.9
Deduct 135 from 140 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
15 goes into 50 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 37620.93
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
15 can be fit into 50 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 37620.933
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 37620.933, and the remainder is 0.0005.