We look at the division of 349641 by 97 
Our goal is to divide 349641 by 97.

Step 1:
If we divide 3 by 97, we get 0 and 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.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 97

Going ahead to step 2:
34 divided by 97 is 0 with a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Fetch the next digit (9) from the dividend, attach it to 34 and continue: 349 / 97

Step 3:
97 goes into 349 3 times with a remainder of 58.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 291 from 349, we get 58.
Bring next digit (6) of the dividend behind the 58 and repeat the process: 586 / 97

Moving on to step 4:
When dividing 586 by 97, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 36.0
Subtracting 582 from 586 leaves us with 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 97

Let's proceed to step 5:
When dividing 44 by 97, we get 0 with a remainder of 44.
The next digit of our result is 0. 
Result so far: 360.0
Subtract 0 from 44 to get 44.
Bring next digit (1) of the dividend behind the 44 and repeat the process: 441 / 97

Step 6:
97 goes into 441 4 times with a remainder of 53.
Put 4 as the next digit of the answer. 
Result so far: 3604.0
Deduct 388 from 441 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 7:
97 can be fit into 530 5 times, resulting in a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 3604.5
If we subtract 485 from 530, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 8:
The number 97 fits into 450 4 times, leaving a remainder of 62.
Put 4 as the next digit of the answer. 
Result so far: 3604.54
If we subtract 388 from 450, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 9:
The number 97 fits into 620 6 times, leaving a remainder of 38.
The next digit of our result is 6. 
Result so far: 3604.546
Deduct 582 from 620 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 10:
If we divide 380 by 97, we get 3 and a remainder of 89.
Put 3 as the next digit of the answer. 
Result so far: 3604.5463
If we take 291 away from 380, we end up with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

On to step 11:
97 can be fit into 890 9 times, resulting in a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 3604.54639
The remainder is 17 after subtracting 873 from 890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 12:
170 divided by 97 is 1 with a remainder of 73.
Use 1 as the next digit of our solution. 
Result so far: 3604.546391
Deduct 97 from 170 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 13:
If we divide 730 by 97, we get 7 and a remainder of 51.
Put 7 as the next digit of the answer. 
Result so far: 3604.5463917
Deduct 679 from 730 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 14:
When dividing 510 by 97, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 3604.54639175
If we subtract 485 from 510, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 3604.54639175 with a balance of 2.5e-08.