We look at the division of 514896 by 90 
Our goal is to divide 514896 by 90.

Step 1:
5 divided by 90 is 0 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.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 90

Advancing to step 2:
90 can be fit into 51 0 times, resulting in a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Grab the next digit (4) from the dividend, add it to 51, then carry on: 514 / 90

Advancing to step 3:
If we divide 514 by 90, we get 5 and a remainder of 64.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 450 from 514 and we're left with 64.
Append the next digit (8) from the dividend to 64 and continue with: 648 / 90

Let's proceed to step 4:
When dividing 648 by 90, we get 7 with a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 57.0
Subtract 630 from 648 to get 18.
Include the next digit (9) from the dividend after 18, then repeat: 189 / 90

On to step 5:
If we divide 189 by 90, we get 2 and a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 572.0
Subtract 180 from 189 to get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 90

On to step 6:
If we divide 96 by 90, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 5721.0
The remainder is 6 after subtracting 90 from 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
The number 90 fits into 60 0 times, leaving a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 5721.0
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 8:
If we divide 600 by 90, we get 6 and a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 5721.06
The remainder is 60 after subtracting 540 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 9:
When dividing 600 by 90, we get 6 with a remainder of 60.
The next digit of our result is 6. 
Result so far: 5721.066
If we take 540 away from 600, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

After the division, we end up with 5721.066 and a remainder of 0.006.