340057 ÷ 97 
Let's see how many times 97 fits into 340057.

Going ahead to step 1:
97 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 97

Advancing to step 2:
34 divided by 97 is 0 with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Take the next digit (0) from the dividend and append it to 34, then repeat: 340 / 97

Advancing to step 3:
The number 97 fits into 340 3 times, leaving a remainder of 49.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 49 after subtracting 291 from 340.
Grab the next digit (0) from the dividend, add it to 49, then carry on: 490 / 97

On to step 4:
490 divided by 97 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 35.0
Subtract 485 from 490 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 97

Moving on to step 5:
97 goes into 55 0 times with a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 350.0
Subtract 0 from 55 to get 55.
Take the next digit (7) from the dividend and append it to 55, then repeat: 557 / 97

Moving on to step 6:
When dividing 557 by 97, we get 5 with a remainder of 72.
Record the quotient 5 as the next digit in the result. 
Result so far: 3505.0
Deduct 485 from 557 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 7:
97 goes into 720 7 times with a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 3505.7
If we subtract 679 from 720, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 8:
97 can be fit into 410 4 times, resulting in a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 3505.74
If we take 388 away from 410, we end up with 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 9:
If we divide 220 by 97, we get 2 and a remainder of 26.
The next digit of our result is 2. 
Result so far: 3505.742
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.

Let's proceed to step 10:
If we divide 260 by 97, we get 2 and a remainder of 66.
Record the quotient 2 as the next digit in the result. 
Result so far: 3505.7422
Subtract 194 from 260 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The quotient of the division is 3505.7422, and the remainder is 0.00066.