We're dividing 4342 by 3 
We're looking to find how many times 3 goes into 4342.

Advancing to step 1:
When dividing 4 by 3, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 3 from 4 to get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 3

Going ahead to step 2:
13 divided by 3 is 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Deduct 12 from 13 and we're left with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 3

Step 3:
If we divide 14 by 3, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 144.0
Deduct 12 from 14 and we're left with 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 3

Going ahead to step 4:
3 can be fit into 22 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 1447.0
The remainder is 1 after subtracting 21 from 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 5:
3 goes into 10 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 1447.3
Deduct 9 from 10 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.

On to step 6:
When dividing 10 by 3, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 1447.33
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.

The final result is 1447.33 with a remainder of 0.001.