Let's divide 644568 by 45
Our goal is to divide 644568 by 45.

Let's proceed to step 1:
45 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 45

On to step 2:
The number 45 fits into 64 1 times, leaving a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 45 from 64 and we're left with 19.
Grab the next digit (4) from the dividend, add it to 19, then carry on: 194 / 45

Let's proceed to step 3:
The number 45 fits into 194 4 times, leaving a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Deduct 180 from 194 and we're left with 14.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 45

On to step 4:
If we divide 145 by 45, we get 3 and a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 143.0
Subtract 135 from 145 to get 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 45

On to step 5:
The number 45 fits into 106 2 times, leaving a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 1432.0
The remainder is 16 after subtracting 90 from 106.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 45

On to step 6:
168 divided by 45 is 3 with a remainder of 33.
Record the quotient 3 as the next digit in the result. 
Result so far: 14323.0
Subtracting 135 from 168 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
45 goes into 330 7 times with a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 14323.7
Subtract 315 from 330 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.

Moving on to step 8:
If we divide 150 by 45, we get 3 and a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 14323.73
Deduct 135 from 150 and we're left 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.

Let's proceed to step 9:
When dividing 150 by 45, we get 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 14323.733
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.

After the division, we end up with 14323.733 and a remainder of 0.0015.