We're dividing 809567 by 15 
Our goal is to divide 809567 by 15.

Moving on to step 1:
15 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 15

Advancing to step 2:
80 divided by 15 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 75 from 80 leaves us with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 15

Step 3:
The number 15 fits into 59 3 times, leaving a remainder of 14.
The next digit of our result is 3. 
Result so far: 53.0
Deduct 45 from 59 and we're left with 14.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 15

Going ahead to step 4:
If we divide 145 by 15, we get 9 and a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 539.0
Subtracting 135 from 145 leaves us with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 15

On to step 5:
The number 15 fits into 106 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 5397.0
Subtracting 105 from 106 leaves us with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 15

On to step 6:
15 can be fit into 17 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 53971.0
Subtract 15 from 17 to get 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 7:
When dividing 20 by 15, we get 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 53971.1
If we subtract 15 from 20, 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.

Advancing to step 8:
When dividing 50 by 15, we get 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 53971.13
Subtract 45 from 50 to 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.

Let's proceed to step 9:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 53971.133
Subtracting 45 from 50 leaves us 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.

Our division results in 53971.133 with a remaining 0.0005.