Let's divide 553206 by 9
We're looking to find how many times 9 goes into 553206.

Advancing to step 1:
If we divide 5 by 9, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the 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 / 9

Advancing to step 2:
55 divided by 9 is 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 54 away from 55, we end up with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 9

Advancing to step 3:
If we divide 13 by 9, we get 1 and a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 61.0
If we subtract 9 from 13, we get 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 9

On to step 4:
9 can be fit into 42 4 times, resulting in a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 614.0
If we take 36 away from 42, we end up with 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 9

Moving on to step 5:
9 can be fit into 60 6 times, resulting in a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 6146.0
If we take 54 away from 60, we end up with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 9

On to step 6:
When dividing 66 by 9, we get 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 61467.0
The remainder is 3 after subtracting 63 from 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 61467.3
Subtracting 27 from 30 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 61467.33
Subtracting 27 from 30 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 61467.33, and the remainder is 0.003.