We're dividing 516465 by 90 
We're looking to find how many times 90 goes into 516465.

Advancing 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
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 90

Step 2:
51 divided by 90 is 0 with a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Include the next digit (6) from the dividend after 51, then repeat: 516 / 90

Step 3:
If we divide 516 by 90, we get 5 and a remainder of 66.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 66 after subtracting 450 from 516.
Fetch the next digit (4) from the dividend, attach it to 66 and continue: 664 / 90

Advancing to step 4:
When dividing 664 by 90, we get 7 with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Subtract 630 from 664 to get 34.
Fetch the next digit (6) from the dividend, attach it to 34 and continue: 346 / 90

Going ahead to step 5:
If we divide 346 by 90, we get 3 and a remainder of 76.
Put 3 as the next digit of the answer. 
Result so far: 573.0
If we take 270 away from 346, we end up with 76.
Fetch the next digit (5) from the dividend, attach it to 76 and continue: 765 / 90

Going ahead to step 6:
When dividing 765 by 90, we get 8 with a remainder of 45.
The next digit of our result is 8. 
Result so far: 5738.0
If we take 720 away from 765, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 7:
When dividing 450 by 90, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 5738.5
Deduct 450 from 450 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
90 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 5738.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
90 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5738.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 5738.5 and a remainder of 0.0.