664591 ÷ 45 
Let's see how many times 45 fits into 664591.

Moving on to step 1:
45 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 45

Moving on to step 2:
The number 45 fits into 66 1 times, leaving a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 45 from 66 leaves us with 21.
Fetch the next digit (4) from the dividend, attach it to 21 and continue: 214 / 45

Moving on to step 3:
The number 45 fits into 214 4 times, leaving a remainder of 34.
The next digit of our result is 4. 
Result so far: 14.0
Subtract 180 from 214 to get 34.
Include the next digit (5) from the dividend after 34, then repeat: 345 / 45

On to step 4:
345 divided by 45 is 7 with a remainder of 30.
Record the quotient 7 as the next digit in the result. 
Result so far: 147.0
Subtract 315 from 345 to get 30.
Include the next digit (9) from the dividend after 30, then repeat: 309 / 45

Let's proceed to step 5:
309 divided by 45 is 6 with a remainder of 39.
The number 6 becomes the next digit in our result. 
Result so far: 1476.0
If we subtract 270 from 309, we get 39.
Bring next digit (1) of the dividend behind the 39 and repeat the process: 391 / 45

Let's proceed to step 6:
If we divide 391 by 45, we get 8 and a remainder of 31.
The number 8 becomes the next digit in our result. 
Result so far: 14768.0
Subtract 360 from 391 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
310 divided by 45 is 6 with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 14768.6
If we subtract 270 from 310, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
If we divide 400 by 45, we get 8 and a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 14768.68
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
If we divide 400 by 45, we get 8 and a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 14768.688
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 14768.688 with a balance of 0.004.