We look at the division of 334978 by 97 
Our goal is to divide 334978 by 97.

Moving on to step 1:
If we divide 3 by 97, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 97

Moving on to step 2:
97 goes into 33 0 times with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 33 after subtracting 0 from 33.
Include the next digit (4) from the dividend after 33, then repeat: 334 / 97

On to step 3:
When dividing 334 by 97, we get 3 with a remainder of 43.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 291 from 334 to get 43.
Include the next digit (9) from the dividend after 43, then repeat: 439 / 97

Moving on to step 4:
97 can be fit into 439 4 times, resulting in a remainder of 51.
The next digit of our result is 4. 
Result so far: 34.0
If we take 388 away from 439, we end up with 51.
Grab the next digit (7) from the dividend, add it to 51, then carry on: 517 / 97

Advancing to step 5:
97 can be fit into 517 5 times, resulting in a remainder of 32.
The number 5 becomes the next digit in our result. 
Result so far: 345.0
The remainder is 32 after subtracting 485 from 517.
Bring next digit (8) of the dividend behind the 32 and repeat the process: 328 / 97

Going ahead to step 6:
328 divided by 97 is 3 with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 3453.0
If we take 291 away from 328, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 7:
When dividing 370 by 97, we get 3 with a remainder of 79.
The next digit of our result is 3. 
Result so far: 3453.3
Subtract 291 from 370 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 8:
97 goes into 790 8 times with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 3453.38
Deduct 776 from 790 and we're left 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.

Let's proceed to step 9:
97 can be fit into 140 1 times, resulting in a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 3453.381
The remainder is 43 after subtracting 97 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 10:
430 divided by 97 is 4 with a remainder of 42.
Write down 4 as next digit of the result. 
Result so far: 3453.3814
Subtracting 388 from 430 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 11:
97 can be fit into 420 4 times, resulting in a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 3453.38144
Deduct 388 from 420 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 3453.38144 with a balance of 3.2e-05.