We look at the division of 55819 by 90 
We want to divide 55819 by 90.

Moving on to step 1:
90 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 90

Moving on to step 2:
The number 90 fits into 55 0 times, leaving a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Grab the next digit (8) from the dividend, add it to 55, then carry on: 558 / 90

Step 3:
If we divide 558 by 90, we get 6 and a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 540 from 558 to get 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 90

Let's proceed to step 4:
90 can be fit into 181 2 times, resulting in a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 62.0
Deduct 180 from 181 and we're left with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 90

Advancing to step 5:
90 can be fit into 19 0 times, resulting in a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 620.0
If we subtract 0 from 19, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 6:
90 goes into 190 2 times with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 620.2
If we take 180 away from 190, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
The number 90 fits into 100 1 times, leaving a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 620.21
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 90 fits into 100 1 times, leaving a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 620.211
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 620.211, and the remainder is 0.001.