516642 ÷ 90 
We're looking to find how many times 90 goes into 516642.

Advancing to step 1:
90 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 90

Advancing to step 2:
51 divided by 90 is 0 with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Fetch the next digit (6) from the dividend, attach it to 51 and continue: 516 / 90

Let's proceed to step 3:
The number 90 fits into 516 5 times, leaving a remainder of 66.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 450 from 516 leaves us with 66.
Include the next digit (6) from the dividend after 66, then repeat: 666 / 90

Step 4:
When dividing 666 by 90, we get 7 with a remainder of 36.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
If we subtract 630 from 666, we get 36.
Grab the next digit (4) from the dividend, add it to 36, then carry on: 364 / 90

Moving on to step 5:
When dividing 364 by 90, we get 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 574.0
If we take 360 away from 364, we end up with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 90

On to step 6:
42 divided by 90 is 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 5740.0
The remainder is 42 after subtracting 0 from 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 7:
90 goes into 420 4 times with a remainder of 60.
The next digit of our result is 4. 
Result so far: 5740.4
The remainder is 60 after subtracting 360 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 8:
If we divide 600 by 90, we get 6 and a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 5740.46
Subtracting 540 from 600 leaves us 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.

Step 9:
The number 90 fits into 600 6 times, leaving a remainder of 60.
The next digit of our result is 6. 
Result so far: 5740.466
Subtracting 540 from 600 leaves us 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.

In conclusion, the division gives 5740.466 with a balance of 0.006.