We're dividing 605566 by 69 
Let's see how many times 69 fits into 605566.

Moving on to step 1:
If we divide 6 by 69, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 69

Step 2:
60 divided by 69 is 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 60, we get 60.
Fetch the next digit (5) from the dividend, attach it to 60 and continue: 605 / 69

Moving on to step 3:
69 can be fit into 605 8 times, resulting in a remainder of 53.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we subtract 552 from 605, we get 53.
Bring next digit (5) of the dividend behind the 53 and repeat the process: 535 / 69

Let's proceed to step 4:
The number 69 fits into 535 7 times, leaving a remainder of 52.
Record the quotient 7 as the next digit in the result. 
Result so far: 87.0
Deduct 483 from 535 and we're left with 52.
Take the next digit (6) from the dividend and append it to 52, then repeat: 526 / 69

Advancing to step 5:
526 divided by 69 is 7 with a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 877.0
If we subtract 483 from 526, we get 43.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 69

Step 6:
436 divided by 69 is 6 with a remainder of 22.
The next digit of our result is 6. 
Result so far: 8776.0
If we subtract 414 from 436, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
220 divided by 69 is 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 8776.3
Deduct 207 from 220 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 8:
When dividing 130 by 69, we get 1 with a remainder of 61.
Write down 1 as next digit of the result. 
Result so far: 8776.31
Subtract 69 from 130 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 9:
If we divide 610 by 69, we get 8 and a remainder of 58.
The next digit of our result is 8. 
Result so far: 8776.318
If we subtract 552 from 610, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 10:
69 goes into 580 8 times with a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 8776.3188
If we take 552 away from 580, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 8776.3188 with a balance of 0.00028.