585808 ÷ 97 
We want to figure out the number of times 585808 can be divided by 97.

Step 1:
If we divide 5 by 97, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 97

Let's proceed to step 2:
When dividing 58 by 97, we get 0 with a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Grab the next digit (5) from the dividend, add it to 58, then carry on: 585 / 97

Advancing to step 3:
The number 97 fits into 585 6 times, leaving a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 582 away from 585, we end up with 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 97

Going ahead to step 4:
97 can be fit into 38 0 times, resulting in a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 60.0
Subtracting 0 from 38 leaves us with 38.
Fetch the next digit (0) from the dividend, attach it to 38 and continue: 380 / 97

Going ahead to step 5:
97 goes into 380 3 times with a remainder of 89.
Use 3 as the next digit of our solution. 
Result so far: 603.0
If we subtract 291 from 380, we get 89.
Take the next digit (8) from the dividend and append it to 89, then repeat: 898 / 97

Advancing to step 6:
If we divide 898 by 97, we get 9 and a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 6039.0
Deduct 873 from 898 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 7:
97 can be fit into 250 2 times, resulting in a remainder of 56.
The next digit of our result is 2. 
Result so far: 6039.2
If we take 194 away from 250, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 8:
The number 97 fits into 560 5 times, leaving a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 6039.25
Subtract 485 from 560 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 9:
If we divide 750 by 97, we get 7 and a remainder of 71.
Write down 7 as next digit of the result. 
Result so far: 6039.257
Subtracting 679 from 750 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 10:
97 goes into 710 7 times with a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 6039.2577
Subtracting 679 from 710 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final result is 6039.2577 with a remainder of 0.00031.