We're dividing 166966 by 3 
Our goal is to divide 166966 by 3.

Going ahead to step 1:
3 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 3

Advancing to step 2:
3 goes into 16 5 times with a remainder of 1.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 15 from 16 leaves us with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 3

Moving on to step 3:
If we divide 16 by 3, we get 5 and a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
The remainder is 1 after subtracting 15 from 16.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 3

Let's proceed to step 4:
3 goes into 19 6 times with a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 556.0
If we subtract 18 from 19, we get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Let's proceed to step 5:
16 divided by 3 is 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 5565.0
Subtracting 15 from 16 leaves us with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 3

Moving on to step 6:
3 goes into 16 5 times with a remainder of 1.
The next digit of our result is 5. 
Result so far: 55655.0
Deduct 15 from 16 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
3 goes into 10 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 55655.3
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 55655.33
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 55655.33 with a remaining 0.001.