We look at the division of 66943 by 45 
We want to divide 66943 by 45.

Advancing to step 1:
45 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 45

Let's proceed to step 2:
If we divide 66 by 45, we get 1 and a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 21 after subtracting 45 from 66.
Fetch the next digit (9) from the dividend, attach it to 21 and continue: 219 / 45

Going ahead to step 3:
The number 45 fits into 219 4 times, leaving a remainder of 39.
Write down 4 as next digit of the result. 
Result so far: 14.0
Deduct 180 from 219 and we're left with 39.
Fetch the next digit (4) from the dividend, attach it to 39 and continue: 394 / 45

On to step 4:
The number 45 fits into 394 8 times, leaving a remainder of 34.
Write down 8 as next digit of the result. 
Result so far: 148.0
Deduct 360 from 394 and we're left with 34.
Include the next digit (3) from the dividend after 34, then repeat: 343 / 45

Going ahead to step 5:
If we divide 343 by 45, we get 7 and a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 1487.0
Deduct 315 from 343 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 6:
280 divided by 45 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 1487.6
If we subtract 270 from 280, 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.

Step 7:
The number 45 fits into 100 2 times, leaving a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 1487.62
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.

Going ahead to step 8:
If we divide 100 by 45, we get 2 and a remainder of 10.
The next digit of our result is 2. 
Result so far: 1487.622
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.

The final result is 1487.622 with a remainder of 0.001.