We divide 335460 by 97
Our goal is to divide 335460 by 97.

Moving on to step 1:
97 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 97

On to step 2:
If we divide 33 by 97, we get 0 and a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Include the next digit (5) from the dividend after 33, then repeat: 335 / 97

Step 3:
The number 97 fits into 335 3 times, leaving a remainder of 44.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 291 away from 335, we end up with 44.
Fetch the next digit (4) from the dividend, attach it to 44 and continue: 444 / 97

On to step 4:
444 divided by 97 is 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 34.0
The remainder is 56 after subtracting 388 from 444.
Include the next digit (6) from the dividend after 56, then repeat: 566 / 97

Advancing to step 5:
566 divided by 97 is 5 with a remainder of 81.
Use 5 as the next digit of our solution. 
Result so far: 345.0
The remainder is 81 after subtracting 485 from 566.
Grab the next digit (0) from the dividend, add it to 81, then carry on: 810 / 97

Moving on to step 6:
If we divide 810 by 97, we get 8 and a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 3458.0
If we subtract 776 from 810, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 7:
If we divide 340 by 97, we get 3 and a remainder of 49.
Record the quotient 3 as the next digit in the result. 
Result so far: 3458.3
If we subtract 291 from 340, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 8:
If we divide 490 by 97, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 3458.35
If we subtract 485 from 490, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
If we divide 50 by 97, we get 0 and a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 3458.35
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
500 divided by 97 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 3458.3505
The remainder is 15 after subtracting 485 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 11:
The number 97 fits into 150 1 times, leaving a remainder of 53.
The next digit of our result is 1. 
Result so far: 3458.35051
If we subtract 97 from 150, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 12:
97 can be fit into 530 5 times, resulting in a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 3458.350515
The remainder is 45 after subtracting 485 from 530.
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 13:
When dividing 450 by 97, we get 4 with a remainder of 62.
The next digit of our result is 4. 
Result so far: 3458.3505154
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.

Moving on to step 14:
97 can be fit into 620 6 times, resulting in a remainder of 38.
Use 6 as the next digit of our solution. 
Result so far: 3458.35051546
The remainder is 38 after subtracting 582 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 3458.35051546 with a balance of 3.8e-08.