55659 divided by 90 
We want to figure out the number of times 55659 can be divided by 90.

On to step 1:
90 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 90

Going ahead to step 2:
If we divide 55 by 90, we get 0 and a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Append the next digit (6) from the dividend to 55 and continue with: 556 / 90

Advancing to step 3:
When dividing 556 by 90, we get 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 16 after subtracting 540 from 556.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 90

Let's proceed to step 4:
165 divided by 90 is 1 with a remainder of 75.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Deduct 90 from 165 and we're left with 75.
Include the next digit (9) from the dividend after 75, then repeat: 759 / 90

Moving on to step 5:
90 goes into 759 8 times with a remainder of 39.
The next digit of our result is 8. 
Result so far: 618.0
If we subtract 720 from 759, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 6:
The number 90 fits into 390 4 times, leaving a remainder of 30.
Record the quotient 4 as the next digit in the result. 
Result so far: 618.4
Subtract 360 from 390 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
300 divided by 90 is 3 with a remainder of 30.
The number 3 becomes the next digit in our result. 
Result so far: 618.43
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
90 can be fit into 300 3 times, resulting in a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 618.433
Subtract 270 from 300 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 618.433 with a remainder of 0.003.