353335 divided by 97 
We want to figure out the number of times 353335 can be divided by 97.

Let's proceed to step 1:
If we divide 3 by 97, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 97

Advancing to step 2:
35 divided by 97 is 0 with a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Fetch the next digit (3) from the dividend, attach it to 35 and continue: 353 / 97

Let's proceed to step 3:
97 goes into 353 3 times with a remainder of 62.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 291 from 353, we get 62.
Take the next digit (3) from the dividend and append it to 62, then repeat: 623 / 97

Going ahead to step 4:
If we divide 623 by 97, we get 6 and a remainder of 41.
The next digit of our result is 6. 
Result so far: 36.0
If we take 582 away from 623, we end up with 41.
Bring next digit (3) of the dividend behind the 41 and repeat the process: 413 / 97

Step 5:
97 can be fit into 413 4 times, resulting in a remainder of 25.
Record the quotient 4 as the next digit in the result. 
Result so far: 364.0
Deduct 388 from 413 and we're left with 25.
Include the next digit (5) from the dividend after 25, then repeat: 255 / 97

Advancing to step 6:
If we divide 255 by 97, we get 2 and a remainder of 61.
Record the quotient 2 as the next digit in the result. 
Result so far: 3642.0
If we take 194 away from 255, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 7:
When dividing 610 by 97, we get 6 with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 3642.6
The remainder is 28 after subtracting 582 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
When dividing 280 by 97, we get 2 with a remainder of 86.
The number 2 becomes the next digit in our result. 
Result so far: 3642.62
If we take 194 away from 280, we end up with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 9:
The number 97 fits into 860 8 times, leaving a remainder of 84.
Use 8 as the next digit of our solution. 
Result so far: 3642.628
If we subtract 776 from 860, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

On to step 10:
840 divided by 97 is 8 with a remainder of 64.
The next digit of our result is 8. 
Result so far: 3642.6288
Subtracting 776 from 840 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 3642.6288 with a balance of 0.00064.