666935 divided by 45 
Let's see how many times 45 fits into 666935.

Moving on to step 1:
45 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 45

Step 2:
The number 45 fits into 66 1 times, leaving a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 45 from 66, we get 21.
Append the next digit (6) from the dividend to 21 and continue with: 216 / 45

On to step 3:
216 divided by 45 is 4 with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 14.0
If we take 180 away from 216, we end up with 36.
Append the next digit (9) from the dividend to 36 and continue with: 369 / 45

Step 4:
45 can be fit into 369 8 times, resulting in a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 148.0
Deduct 360 from 369 and we're left with 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 45

Step 5:
45 can be fit into 93 2 times, resulting in a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 1482.0
If we take 90 away from 93, we end up with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 45

Step 6:
45 goes into 35 0 times with a remainder of 35.
The next digit of our result is 0. 
Result so far: 14820.0
Subtract 0 from 35 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 7:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 14820.7
Subtract 315 from 350 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 14820.77
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 14820.77 and a remainder of 0.035.