We're dividing 584268 by 97 
We're looking to find how many times 97 goes into 584268.

Moving on to step 1:
5 divided by 97 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 97

Advancing to step 2:
If we divide 58 by 97, we get 0 and a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Append the next digit (4) from the dividend to 58 and continue with: 584 / 97

Advancing to step 3:
97 goes into 584 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 6.0
If we take 582 away from 584, we end up with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 97

Going ahead to step 4:
When dividing 22 by 97, we get 0 with a remainder of 22.
Put 0 as the next digit of the answer. 
Result so far: 60.0
The remainder is 22 after subtracting 0 from 22.
Take the next digit (6) from the dividend and append it to 22, then repeat: 226 / 97

On to step 5:
If we divide 226 by 97, we get 2 and a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 602.0
The remainder is 32 after subtracting 194 from 226.
Fetch the next digit (8) from the dividend, attach it to 32 and continue: 328 / 97

Let's proceed to step 6:
97 can be fit into 328 3 times, resulting in a remainder of 37.
The next digit of our result is 3. 
Result so far: 6023.0
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.

Let's proceed to step 7:
If we divide 370 by 97, we get 3 and a remainder of 79.
Use 3 as the next digit of our solution. 
Result so far: 6023.3
If we subtract 291 from 370, we 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.

Going ahead to step 8:
790 divided by 97 is 8 with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 6023.38
Subtract 776 from 790 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
97 goes into 140 1 times with a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 6023.381
Subtracting 97 from 140 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 10:
When dividing 430 by 97, we get 4 with a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 6023.3814
The remainder is 42 after subtracting 388 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 11:
97 goes into 420 4 times with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 6023.38144
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.

The final result is 6023.38144 with a remainder of 3.2e-05.