We're dividing 566953 by 68 
We want to divide 566953 by 68.

Let's proceed to step 1:
68 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 68

Step 2:
When dividing 56 by 68, we get 0 with a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Take the next digit (6) from the dividend and append it to 56, then repeat: 566 / 68

Going ahead to step 3:
68 goes into 566 8 times with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 544 from 566 leaves us with 22.
Grab the next digit (9) from the dividend, add it to 22, then carry on: 229 / 68

On to step 4:
When dividing 229 by 68, we get 3 with a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 83.0
The remainder is 25 after subtracting 204 from 229.
Fetch the next digit (5) from the dividend, attach it to 25 and continue: 255 / 68

Moving on to step 5:
68 goes into 255 3 times with a remainder of 51.
Write down 3 as next digit of the result. 
Result so far: 833.0
Subtracting 204 from 255 leaves us with 51.
Fetch the next digit (3) from the dividend, attach it to 51 and continue: 513 / 68

Going ahead to step 6:
68 goes into 513 7 times with a remainder of 37.
The number 7 becomes the next digit in our result. 
Result so far: 8337.0
If we take 476 away from 513, 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.

Moving on to step 7:
68 can be fit into 370 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 8337.5
Subtract 340 from 370 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
68 goes into 300 4 times with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 8337.54
Subtract 272 from 300 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 9:
68 goes into 280 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 8337.544
The remainder is 8 after subtracting 272 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 8337.544, with a leftover of 0.0008.