We look at the division of 55640 by 9 
We're looking to find how many times 9 goes into 55640.

Let's proceed to step 1:
The number 9 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
The remainder is 5 after subtracting 0 from 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 9

Advancing to step 2:
When dividing 55 by 9, we get 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 54 from 55 leaves us with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 9

Moving on to step 3:
If we divide 16 by 9, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 61.0
Subtracting 9 from 16 leaves us with 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 9

Step 4:
If we divide 74 by 9, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 618.0
Subtracting 72 from 74 leaves us with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 9

Let's proceed to step 5:
When dividing 20 by 9, we get 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 6182.0
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 6:
When dividing 20 by 9, we get 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 6182.2
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
9 goes into 20 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 6182.22
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 6182.22 with a remaining 0.002.