660679 ÷ 45 
We're looking to find how many times 45 goes into 660679.

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
Deduct 0 from 6 and we're left with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 45

Step 2:
66 divided by 45 is 1 with a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 45 from 66 leaves us with 21.
Bring next digit (0) of the dividend behind the 21 and repeat the process: 210 / 45

On to step 3:
The number 45 fits into 210 4 times, leaving a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtract 180 from 210 to get 30.
Take the next digit (6) from the dividend and append it to 30, then repeat: 306 / 45

Advancing to step 4:
45 goes into 306 6 times with a remainder of 36.
The next digit of our result is 6. 
Result so far: 146.0
Subtracting 270 from 306 leaves us with 36.
Bring next digit (7) of the dividend behind the 36 and repeat the process: 367 / 45

Advancing to step 5:
When dividing 367 by 45, we get 8 with a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 1468.0
If we take 360 away from 367, we end up with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 45

Let's proceed to step 6:
If we divide 79 by 45, we get 1 and a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 14681.0
Subtract 45 from 79 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
If we divide 340 by 45, we get 7 and a remainder of 25.
Write down 7 as next digit of the result. 
Result so far: 14681.7
The remainder is 25 after subtracting 315 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
If we divide 250 by 45, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 14681.75
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
45 goes into 250 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 14681.755
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 14681.755 with a remainder of 0.0025.