We divide 259563 by 45
Our goal is to divide 259563 by 45.

Moving on to step 1:
45 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 45

Let's proceed to step 2:
45 goes into 25 0 times with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 45

Let's proceed to step 3:
When dividing 259 by 45, we get 5 with a remainder of 34.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 34 after subtracting 225 from 259.
Take the next digit (5) from the dividend and append it to 34, then repeat: 345 / 45

Step 4:
If we divide 345 by 45, we get 7 and a remainder of 30.
Put 7 as the next digit of the answer. 
Result so far: 57.0
Subtract 315 from 345 to get 30.
Include the next digit (6) from the dividend after 30, then repeat: 306 / 45

Advancing to step 5:
45 can be fit into 306 6 times, resulting in a remainder of 36.
The next digit of our result is 6. 
Result so far: 576.0
Subtracting 270 from 306 leaves us with 36.
Include the next digit (3) from the dividend after 36, then repeat: 363 / 45

Moving on to step 6:
When dividing 363 by 45, we get 8 with a remainder of 3.
The next digit of our result is 8. 
Result so far: 5768.0
Deduct 360 from 363 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
45 goes into 30 0 times with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 5768.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
45 goes into 300 6 times with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 5768.06
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 5768.066
Subtract 270 from 300 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 5768.066 and a remainder of 0.003.