We look at the division of 665641 by 45 
We want to divide 665641 by 45.

On to step 1:
If we divide 6 by 45, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 45

Let's proceed to step 2:
If we divide 66 by 45, we get 1 and a remainder of 21.
The next digit of our result is 1. 
Result so far: 1.0
If we take 45 away from 66, we end up with 21.
Grab the next digit (5) from the dividend, add it to 21, then carry on: 215 / 45

Going ahead to step 3:
When dividing 215 by 45, we get 4 with a remainder of 35.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we take 180 away from 215, we end up with 35.
Fetch the next digit (6) from the dividend, attach it to 35 and continue: 356 / 45

Moving on to step 4:
45 goes into 356 7 times with a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 147.0
Subtract 315 from 356 to get 41.
Include the next digit (4) from the dividend after 41, then repeat: 414 / 45

Moving on to step 5:
When dividing 414 by 45, we get 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 1479.0
Deduct 405 from 414 and we're left with 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 45

Advancing to step 6:
45 can be fit into 91 2 times, resulting in a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 14792.0
If we subtract 90 from 91, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
45 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 14792.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
The number 45 fits into 100 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 14792.02
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
45 goes into 100 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 14792.022
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 14792.022 with a balance of 0.001.