We're dividing 669664 by 45 
We want to divide 669664 by 45.

Step 1:
When dividing 6 by 45, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 45

On to step 2:
If we divide 66 by 45, we get 1 and a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 45 from 66 to get 21.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 45

Moving on to step 3:
The number 45 fits into 219 4 times, leaving a remainder of 39.
The next digit of our result is 4. 
Result so far: 14.0
Subtracting 180 from 219 leaves us with 39.
Fetch the next digit (6) from the dividend, attach it to 39 and continue: 396 / 45

Advancing to step 4:
45 goes into 396 8 times with a remainder of 36.
The next digit of our result is 8. 
Result so far: 148.0
Subtracting 360 from 396 leaves us with 36.
Append the next digit (6) from the dividend to 36 and continue with: 366 / 45

On to step 5:
The number 45 fits into 366 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 1488.0
Deduct 360 from 366 and we're left with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 45

Advancing to step 6:
64 divided by 45 is 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 14881.0
Subtract 45 from 64 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
If we divide 190 by 45, we get 4 and a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 14881.4
If we take 180 away from 190, we end up 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.

Step 8:
The number 45 fits into 100 2 times, leaving a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 14881.42
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.

On to step 9:
45 can be fit into 100 2 times, resulting in a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 14881.422
If we take 90 away from 100, we end up 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.

Our division results in 14881.422 with a remaining 0.001.