We look at the division of 355242 by 35 
We want to figure out the number of times 355242 can be divided by 35.

Step 1:
3 divided by 35 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 35

Advancing to step 2:
When dividing 35 by 35, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 35 from 35, we get 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 35

Advancing to step 3:
The number 35 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 5 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 35

Advancing to step 4:
When dividing 52 by 35, we get 1 with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
If we take 35 away from 52, we end up with 17.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 35

Advancing to step 5:
When dividing 174 by 35, we get 4 with a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 1014.0
If we subtract 140 from 174, we get 34.
Take the next digit (2) from the dividend and append it to 34, then repeat: 342 / 35

Going ahead to step 6:
If we divide 342 by 35, we get 9 and a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 10149.0
If we subtract 315 from 342, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 7:
When dividing 270 by 35, we get 7 with a remainder of 25.
Use 7 as the next digit of our solution. 
Result so far: 10149.7
Deduct 245 from 270 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 8:
The number 35 fits into 250 7 times, leaving a remainder of 5.
The next digit of our result is 7. 
Result so far: 10149.77
Subtracting 245 from 250 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 10149.77, with a leftover of 0.005.