We look at the division of 566879 by 69 
Our goal is to divide 566879 by 69.

Moving on to step 1:
When dividing 5 by 69, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 69

On to step 2:
69 goes into 56 0 times with a remainder of 56.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 56 and we're left with 56.
Take the next digit (6) from the dividend and append it to 56, then repeat: 566 / 69

Step 3:
69 goes into 566 8 times with a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 552 from 566, we get 14.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 69

Let's proceed to step 4:
148 divided by 69 is 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 82.0
If we take 138 away from 148, we end up with 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 69

Going ahead to step 5:
69 goes into 107 1 times with a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 821.0
If we subtract 69 from 107, we get 38.
Grab the next digit (9) from the dividend, add it to 38, then carry on: 389 / 69

Let's proceed to step 6:
69 can be fit into 389 5 times, resulting in a remainder of 44.
Write down 5 as next digit of the result. 
Result so far: 8215.0
Subtract 345 from 389 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.

Moving on to step 7:
If we divide 440 by 69, we get 6 and a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 8215.6
Deduct 414 from 440 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
The number 69 fits into 260 3 times, leaving a remainder of 53.
Write down 3 as next digit of the result. 
Result so far: 8215.63
The remainder is 53 after subtracting 207 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 9:
530 divided by 69 is 7 with a remainder of 47.
Record the quotient 7 as the next digit in the result. 
Result so far: 8215.637
Subtracting 483 from 530 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 10:
470 divided by 69 is 6 with a remainder of 56.
Put 6 as the next digit of the answer. 
Result so far: 8215.6376
The remainder is 56 after subtracting 414 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 11:
560 divided by 69 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 8215.63768
Deduct 552 from 560 and we're left 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.

Let's proceed to step 12:
If we divide 80 by 69, we get 1 and a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 8215.637681
The remainder is 11 after subtracting 69 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 13:
If we divide 110 by 69, we get 1 and a remainder of 41.
Use 1 as the next digit of our solution. 
Result so far: 8215.6376811
If we take 69 away from 110, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

In conclusion, the division gives 8215.6376811 with a balance of 4.1e-07.