We're dividing 55302 by 9 
We want to figure out the number of times 55302 can be divided by 9.

Let's proceed to step 1:
If we divide 5 by 9, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 9

Advancing to step 2:
If we divide 55 by 9, we get 6 and a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 54 away from 55, we end up with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 9

On to step 3:
When dividing 13 by 9, we get 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Subtracting 9 from 13 leaves us with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 9

Advancing to step 4:
The number 9 fits into 40 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 614.0
Deduct 36 from 40 and we're left with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 9

Going ahead to step 5:
9 can be fit into 42 4 times, resulting in a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 6144.0
Subtracting 36 from 42 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 6:
9 goes into 60 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 6144.6
The remainder is 6 after subtracting 54 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
9 goes into 60 6 times with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 6144.66
Deduct 54 from 60 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 6144.66 and a remainder of 0.006.