We're dividing 565918 by 9 
Our goal is to divide 565918 by 9.

Step 1:
9 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 9

Let's proceed to step 2:
56 divided by 9 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 2 after subtracting 54 from 56.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 9

Moving on to step 3:
If we divide 25 by 9, we get 2 and a remainder of 7.
The next digit of our result is 2. 
Result so far: 62.0
The remainder is 7 after subtracting 18 from 25.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 9

Advancing to step 4:
9 goes into 79 8 times with a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 628.0
Subtract 72 from 79 to get 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 9

Let's proceed to step 5:
9 goes into 71 7 times with a remainder of 8.
The next digit of our result is 7. 
Result so far: 6287.0
The remainder is 8 after subtracting 63 from 71.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 9

Moving on to step 6:
When dividing 88 by 9, we get 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 62879.0
If we take 81 away from 88, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
If we divide 70 by 9, we get 7 and a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 62879.7
Subtract 63 from 70 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
If we divide 70 by 9, we get 7 and a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 62879.77
Deduct 63 from 70 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 62879.77 with a remainder of 0.007.