We look at the division of 568768 by 61 
We want to figure out the number of times 568768 can be divided by 61.

Advancing to step 1:
If we divide 5 by 61, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 61

Going ahead to step 2:
61 can be fit into 56 0 times, resulting in a remainder of 56.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Take the next digit (8) from the dividend and append it to 56, then repeat: 568 / 61

Moving on to step 3:
61 goes into 568 9 times with a remainder of 19.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 19 after subtracting 549 from 568.
Fetch the next digit (7) from the dividend, attach it to 19 and continue: 197 / 61

Step 4:
When dividing 197 by 61, we get 3 with a remainder of 14.
The next digit of our result is 3. 
Result so far: 93.0
If we subtract 183 from 197, we get 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 61

Advancing to step 5:
When dividing 146 by 61, we get 2 with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 932.0
Subtracting 122 from 146 leaves us with 24.
Fetch the next digit (8) from the dividend, attach it to 24 and continue: 248 / 61

Advancing to step 6:
61 goes into 248 4 times with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 9324.0
Deduct 244 from 248 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
When dividing 40 by 61, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 9324.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
400 divided by 61 is 6 with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 9324.06
The remainder is 34 after subtracting 366 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 9:
61 goes into 340 5 times with a remainder of 35.
The next digit of our result is 5. 
Result so far: 9324.065
Subtracting 305 from 340 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 10:
350 divided by 61 is 5 with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 9324.0655
Subtract 305 from 350 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Our division results in 9324.0655 with a remaining 0.00045.