We're dividing 514681 by 90 
Our goal is to divide 514681 by 90.

Step 1:
If we divide 5 by 90, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 90

On to step 2:
The number 90 fits into 51 0 times, leaving a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Fetch the next digit (4) from the dividend, attach it to 51 and continue: 514 / 90

On to step 3:
90 goes into 514 5 times with a remainder of 64.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 450 from 514 and we're left with 64.
Include the next digit (6) from the dividend after 64, then repeat: 646 / 90

Let's proceed to step 4:
90 can be fit into 646 7 times, resulting in a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 57.0
Subtracting 630 from 646 leaves us with 16.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 90

Let's proceed to step 5:
168 divided by 90 is 1 with a remainder of 78.
Use 1 as the next digit of our solution. 
Result so far: 571.0
Subtracting 90 from 168 leaves us with 78.
Bring next digit (1) of the dividend behind the 78 and repeat the process: 781 / 90

Moving on to step 6:
If we divide 781 by 90, we get 8 and a remainder of 61.
Put 8 as the next digit of the answer. 
Result so far: 5718.0
Subtract 720 from 781 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 7:
610 divided by 90 is 6 with a remainder of 70.
Record the quotient 6 as the next digit in the result. 
Result so far: 5718.6
Subtract 540 from 610 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 8:
The number 90 fits into 700 7 times, leaving a remainder of 70.
The number 7 becomes the next digit in our result. 
Result so far: 5718.67
Subtract 630 from 700 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 9:
90 goes into 700 7 times with a remainder of 70.
The number 7 becomes the next digit in our result. 
Result so far: 5718.677
Subtracting 630 from 700 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Our division results in 5718.677 with a remaining 0.007.