342629 ÷ 42 
We want to figure out the number of times 342629 can be divided by 42.

Going ahead to step 1:
The number 42 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 42

Let's proceed to step 2:
When dividing 34 by 42, we get 0 with a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Take the next digit (2) from the dividend and append it to 34, then repeat: 342 / 42

Advancing to step 3:
42 can be fit into 342 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 336 from 342 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 42

Step 4:
When dividing 66 by 42, we get 1 with a remainder of 24.
The next digit of our result is 1. 
Result so far: 81.0
Subtract 42 from 66 to get 24.
Include the next digit (2) from the dividend after 24, then repeat: 242 / 42

Going ahead to step 5:
If we divide 242 by 42, we get 5 and a remainder of 32.
The number 5 becomes the next digit in our result. 
Result so far: 815.0
Deduct 210 from 242 and we're left with 32.
Fetch the next digit (9) from the dividend, attach it to 32 and continue: 329 / 42

Let's proceed to step 6:
42 goes into 329 7 times with a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 8157.0
Subtract 294 from 329 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 7:
42 can be fit into 350 8 times, resulting in a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 8157.8
If we take 336 away from 350, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
If we divide 140 by 42, we get 3 and a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 8157.83
Subtract 126 from 140 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 9:
If we divide 140 by 42, we get 3 and a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 8157.833
Subtract 126 from 140 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 8157.833 with a remainder of 0.0014.