Let's divide 142946 by 42
Our goal is to divide 142946 by 42.

Step 1:
1 divided by 42 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 42

Step 2:
14 divided by 42 is 0 with a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Grab the next digit (2) from the dividend, add it to 14, then carry on: 142 / 42

Moving on to step 3:
42 can be fit into 142 3 times, resulting in a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 126 from 142 to get 16.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 42

Let's proceed to step 4:
42 goes into 169 4 times with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 34.0
Subtract 168 from 169 to get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 42

Step 5:
14 divided by 42 is 0 with a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 340.0
The remainder is 14 after subtracting 0 from 14.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 42

Advancing to step 6:
42 goes into 146 3 times with a remainder of 20.
The next digit of our result is 3. 
Result so far: 3403.0
If we subtract 126 from 146, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
If we divide 200 by 42, we get 4 and a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 3403.4
Deduct 168 from 200 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
320 divided by 42 is 7 with a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 3403.47
If we take 294 away from 320, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 9:
260 divided by 42 is 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 3403.476
If we take 252 away from 260, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
42 can be fit into 80 1 times, resulting in a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 3403.4761
The remainder is 38 after subtracting 42 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 11:
380 divided by 42 is 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 3403.47619
If we subtract 378 from 380, 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.

On to step 12:
42 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 3403.47619
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
When dividing 200 by 42, we get 4 with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 3403.4761904
If we take 168 away from 200, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 14:
42 can be fit into 320 7 times, resulting in a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 3403.47619047
The remainder is 26 after subtracting 294 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 3403.47619047 with a remainder of 2.6e-08.