We look at the division of 146660 by 3 
Our goal is to divide 146660 by 3.

On to step 1:
If we divide 1 by 3, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 3

Step 2:
3 goes into 14 4 times with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 12 from 14 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Going ahead to step 3:
3 goes into 26 8 times with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 48.0
Deduct 24 from 26 and we're left with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 3

Going ahead to step 4:
If we divide 26 by 3, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 488.0
Deduct 24 from 26 and we're left with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 3

Going ahead to step 5:
When dividing 26 by 3, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 4888.0
If we take 24 away from 26, we end up with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 3

Advancing to step 6:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 48886.0
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
3 goes into 20 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 48886.6
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
20 divided by 3 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 48886.66
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 48886.66, and the remainder is 0.002.