We divide 146942 by 3
We're looking to find how many times 3 goes into 146942.

Step 1:
When dividing 1 by 3, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 3

Step 2:
3 goes into 14 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 12 from 14 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 3

Let's proceed to step 3:
The number 3 fits into 26 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 48.0
Subtract 24 from 26 to get 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 3

Advancing to step 4:
If we divide 29 by 3, we get 9 and a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 489.0
If we subtract 27 from 29, we get 2.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 3

Let's proceed to step 5:
If we divide 24 by 3, we get 8 and a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 4898.0
Subtract 24 from 24 to get 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 3

Step 6:
If we divide 2 by 3, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 48980.0
The remainder is 2 after subtracting 0 from 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 7:
20 divided by 3 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 48980.6
The remainder is 2 after subtracting 18 from 20.
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 8:
20 divided by 3 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 48980.66
Subtracting 18 from 20 leaves us 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 48980.66, and the remainder is 0.002.