353458 divided by 42 
We're looking to find how many times 42 goes into 353458.

Step 1:
When dividing 3 by 42, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 42

Let's proceed to step 2:
42 goes into 35 0 times with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Take the next digit (3) from the dividend and append it to 35, then repeat: 353 / 42

Going ahead to step 3:
42 goes into 353 8 times with a remainder of 17.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we subtract 336 from 353, we get 17.
Take the next digit (4) from the dividend and append it to 17, then repeat: 174 / 42

Step 4:
42 goes into 174 4 times with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 84.0
If we take 168 away from 174, we end up with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 42

Going ahead to step 5:
When dividing 65 by 42, we get 1 with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 841.0
Subtract 42 from 65 to get 23.
Append the next digit (8) from the dividend to 23 and continue with: 238 / 42

Advancing to step 6:
When dividing 238 by 42, we get 5 with a remainder of 28.
Write down 5 as next digit of the result. 
Result so far: 8415.0
Subtracting 210 from 238 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
The number 42 fits into 280 6 times, leaving a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 8415.6
If we subtract 252 from 280, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
42 can be fit into 280 6 times, resulting in a remainder of 28.
The next digit of our result is 6. 
Result so far: 8415.66
If we subtract 252 from 280, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 8415.66 with a balance of 0.028.