586118 ÷ 97 
We want to figure out the number of times 586118 can be divided by 97.

Going ahead to step 1:
97 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 97

Step 2:
The number 97 fits into 58 0 times, leaving a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Fetch the next digit (6) from the dividend, attach it to 58 and continue: 586 / 97

Going ahead to step 3:
97 goes into 586 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 582 away from 586, we end up with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 97

On to step 4:
97 goes into 41 0 times with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 60.0
Deduct 0 from 41 and we're left with 41.
Append the next digit (1) from the dividend to 41 and continue with: 411 / 97

Moving on to step 5:
411 divided by 97 is 4 with a remainder of 23.
The next digit of our result is 4. 
Result so far: 604.0
Deduct 388 from 411 and we're left with 23.
Include the next digit (8) from the dividend after 23, then repeat: 238 / 97

Moving on to step 6:
97 goes into 238 2 times with a remainder of 44.
The next digit of our result is 2. 
Result so far: 6042.0
Subtract 194 from 238 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 7:
When dividing 440 by 97, we get 4 with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 6042.4
If we subtract 388 from 440, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 8:
The number 97 fits into 520 5 times, leaving a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 6042.45
If we subtract 485 from 520, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
If we divide 350 by 97, we get 3 and a remainder of 59.
The next digit of our result is 3. 
Result so far: 6042.453
The remainder is 59 after subtracting 291 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 10:
When dividing 590 by 97, we get 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6042.4536
If we subtract 582 from 590, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
The number 97 fits into 80 0 times, leaving a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 6042.4536
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 12:
If we divide 800 by 97, we get 8 and a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 6042.453608
If we take 776 away from 800, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 13:
97 goes into 240 2 times with a remainder of 46.
Write down 2 as next digit of the result. 
Result so far: 6042.4536082
Subtracting 194 from 240 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 14:
97 goes into 460 4 times with a remainder of 72.
The number 4 becomes the next digit in our result. 
Result so far: 6042.45360824
The remainder is 72 after subtracting 388 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The final result is 6042.45360824 with a remainder of 7.2e-08.