We're dividing 562501 by 9 
We want to figure out the number of times 562501 can be divided by 9.

On to step 1:
9 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
Deduct 0 from 5 and we're left with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 9

Step 2:
If we divide 56 by 9, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 54 from 56 leaves us with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 9

Let's proceed to step 3:
22 divided by 9 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
Deduct 18 from 22 and we're left with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 9

Step 4:
9 goes into 45 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 625.0
Subtracting 45 from 45 leaves us with 0.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 9

Moving on to step 5:
If we divide 0 by 9, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6250.0
If we subtract 0 from 0, we get 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 9

On to step 6:
9 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 62500.0
Subtract 0 from 1 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
10 divided by 9 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 62500.1
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
9 goes into 10 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 62500.11
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 62500.11 and a remainder of 0.001.