We look at the division of 49666 by 90 
We're looking to find how many times 90 goes into 49666.

Advancing to step 1:
90 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 90

Step 2:
90 can be fit into 49 0 times, resulting in a remainder of 49.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 49, we get 49.
Fetch the next digit (6) from the dividend, attach it to 49 and continue: 496 / 90

On to step 3:
90 goes into 496 5 times with a remainder of 46.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 450 away from 496, we end up with 46.
Grab the next digit (6) from the dividend, add it to 46, then carry on: 466 / 90

Advancing to step 4:
90 goes into 466 5 times with a remainder of 16.
Use 5 as the next digit of our solution. 
Result so far: 55.0
Subtracting 450 from 466 leaves us with 16.
Grab the next digit (6) from the dividend, add it to 16, then carry on: 166 / 90

Moving on to step 5:
If we divide 166 by 90, we get 1 and a remainder of 76.
Put 1 as the next digit of the answer. 
Result so far: 551.0
Subtract 90 from 166 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 6:
760 divided by 90 is 8 with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 551.8
Subtract 720 from 760 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 7:
90 can be fit into 400 4 times, resulting in a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 551.84
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
If we divide 400 by 90, we get 4 and a remainder of 40.
The next digit of our result is 4. 
Result so far: 551.844
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 551.844 with a remainder of 0.004.