353417 divided by 97 
Let's see how many times 97 fits into 353417.

Advancing to step 1:
When dividing 3 by 97, we get 0 with 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.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 97

On to step 2:
The number 97 fits into 35 0 times, leaving a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Bring next digit (3) of the dividend behind the 35 and repeat the process: 353 / 97

Moving on to step 3:
When dividing 353 by 97, we get 3 with a remainder of 62.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 291 from 353 to get 62.
Fetch the next digit (4) from the dividend, attach it to 62 and continue: 624 / 97

On to step 4:
97 can be fit into 624 6 times, resulting in a remainder of 42.
The next digit of our result is 6. 
Result so far: 36.0
If we take 582 away from 624, we end up with 42.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 97

Step 5:
97 goes into 421 4 times with a remainder of 33.
Use 4 as the next digit of our solution. 
Result so far: 364.0
If we take 388 away from 421, we end up with 33.
Include the next digit (7) from the dividend after 33, then repeat: 337 / 97

Moving on to step 6:
97 can be fit into 337 3 times, resulting in a remainder of 46.
The number 3 becomes the next digit in our result. 
Result so far: 3643.0
If we subtract 291 from 337, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 7:
The number 97 fits into 460 4 times, leaving a remainder of 72.
The next digit of our result is 4. 
Result so far: 3643.4
If we subtract 388 from 460, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 8:
When dividing 720 by 97, we get 7 with a remainder of 41.
Write down 7 as next digit of the result. 
Result so far: 3643.47
The remainder is 41 after subtracting 679 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 9:
97 goes into 410 4 times with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 3643.474
If we subtract 388 from 410, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 10:
When dividing 220 by 97, we get 2 with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 3643.4742
If we subtract 194 from 220, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 11:
97 can be fit into 260 2 times, resulting in a remainder of 66.
Put 2 as the next digit of the answer. 
Result so far: 3643.47422
Subtracting 194 from 260 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

After the division, we end up with 3643.47422 and a remainder of 6.6e-05.