We look at the division of 564837 by 45 
Let's see how many times 45 fits into 564837.

Going ahead to step 1:
The number 45 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 45

Advancing to step 2:
56 divided by 45 is 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 45 from 56 leaves us with 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 45

Let's proceed to step 3:
The number 45 fits into 114 2 times, leaving a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 90 away from 114, we end up with 24.
Take the next digit (8) from the dividend and append it to 24, then repeat: 248 / 45

Going ahead to step 4:
When dividing 248 by 45, we get 5 with a remainder of 23.
Put 5 as the next digit of the answer. 
Result so far: 125.0
Deduct 225 from 248 and we're left with 23.
Append the next digit (3) from the dividend to 23 and continue with: 233 / 45

Step 5:
The number 45 fits into 233 5 times, leaving a remainder of 8.
The next digit of our result is 5. 
Result so far: 1255.0
If we take 225 away from 233, we end up with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 45

Let's proceed to step 6:
If we divide 87 by 45, we get 1 and a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 12551.0
If we take 45 away from 87, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 7:
The number 45 fits into 420 9 times, leaving a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 12551.9
If we take 405 away from 420, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
When dividing 150 by 45, we get 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 12551.93
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 9:
When dividing 150 by 45, we get 3 with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 12551.933
If we subtract 135 from 150, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 12551.933 with a remainder of 0.0015.