We look at the division of 586800 by 68 
We're looking to find how many times 68 goes into 586800.

Step 1:
68 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 68

Moving on to step 2:
If we divide 58 by 68, we get 0 and a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Fetch the next digit (6) from the dividend, attach it to 58 and continue: 586 / 68

Let's proceed to step 3:
When dividing 586 by 68, we get 8 with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 544 from 586 leaves us with 42.
Fetch the next digit (8) from the dividend, attach it to 42 and continue: 428 / 68

Advancing to step 4:
68 can be fit into 428 6 times, resulting in a remainder of 20.
The next digit of our result is 6. 
Result so far: 86.0
If we take 408 away from 428, we end up with 20.
Take the next digit (0) from the dividend and append it to 20, then repeat: 200 / 68

Going ahead to step 5:
The number 68 fits into 200 2 times, leaving a remainder of 64.
Use 2 as the next digit of our solution. 
Result so far: 862.0
If we subtract 136 from 200, we get 64.
Append the next digit (0) from the dividend to 64 and continue with: 640 / 68

Step 6:
When dividing 640 by 68, we get 9 with a remainder of 28.
The number 9 becomes the next digit in our result. 
Result so far: 8629.0
Subtract 612 from 640 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
If we divide 280 by 68, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 8629.4
If we take 272 away from 280, we end up with 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 8:
68 goes into 80 1 times with a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 8629.41
Subtracting 68 from 80 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
If we divide 120 by 68, we get 1 and a remainder of 52.
The number 1 becomes the next digit in our result. 
Result so far: 8629.411
If we subtract 68 from 120, 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.

The final outcome is 8629.411, with a leftover of 0.0052.