We look at the division of 558722 by 101 
We're looking to find how many times 101 goes into 558722.

Moving on to step 1:
The number 101 fits into 5 0 times, leaving 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.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 101

Let's proceed to step 2:
If we divide 55 by 101, we get 0 and a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Take the next digit (8) from the dividend and append it to 55, then repeat: 558 / 101

Advancing to step 3:
101 goes into 558 5 times with a remainder of 53.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 505 from 558 to get 53.
Bring next digit (7) of the dividend behind the 53 and repeat the process: 537 / 101

Step 4:
537 divided by 101 is 5 with a remainder of 32.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
If we subtract 505 from 537, we get 32.
Append the next digit (2) from the dividend to 32 and continue with: 322 / 101

Advancing to step 5:
101 can be fit into 322 3 times, resulting in a remainder of 19.
The next digit of our result is 3. 
Result so far: 553.0
Deduct 303 from 322 and we're left with 19.
Include the next digit (2) from the dividend after 19, then repeat: 192 / 101

On to step 6:
192 divided by 101 is 1 with a remainder of 91.
Write down 1 as next digit of the result. 
Result so far: 5531.0
Subtracting 101 from 192 leaves us with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Going ahead to step 7:
When dividing 910 by 101, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 5531.9
Subtracting 909 from 910 leaves us 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.

Step 8:
101 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 5531.9
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
101 can be fit into 100 0 times, resulting in a remainder of 100.
The number 0 becomes the next digit in our result. 
Result so far: 5531.9
If we take 0 away from 100, we end up with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

The quotient of the division is 5531.9, and the remainder is 0.01.