We're dividing 553759 by 89 
Our goal is to divide 553759 by 89.

Let's proceed to step 1:
89 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 89

Going ahead to step 2:
The number 89 fits into 55 0 times, leaving a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Fetch the next digit (3) from the dividend, attach it to 55 and continue: 553 / 89

On to step 3:
89 can be fit into 553 6 times, resulting in a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 534 from 553 leaves us with 19.
Bring next digit (7) of the dividend behind the 19 and repeat the process: 197 / 89

Let's proceed to step 4:
If we divide 197 by 89, we get 2 and a remainder of 19.
The next digit of our result is 2. 
Result so far: 62.0
If we take 178 away from 197, we end up with 19.
Fetch the next digit (5) from the dividend, attach it to 19 and continue: 195 / 89

Step 5:
The number 89 fits into 195 2 times, leaving a remainder of 17.
Use 2 as the next digit of our solution. 
Result so far: 622.0
The remainder is 17 after subtracting 178 from 195.
Grab the next digit (9) from the dividend, add it to 17, then carry on: 179 / 89

On to step 6:
If we divide 179 by 89, we get 2 and a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 6222.0
Subtracting 178 from 179 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
If we divide 10 by 89, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 6222.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
89 goes into 100 1 times with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 6222.01
The remainder is 11 after subtracting 89 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
When dividing 110 by 89, we get 1 with a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 6222.011
Subtract 89 from 110 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The quotient of the division is 6222.011, and the remainder is 0.0021.