578498 ÷ 16 
We want to figure out the number of times 578498 can be divided by 16.

On to step 1:
16 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 16

Going ahead to step 2:
When dividing 57 by 16, we get 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 48 from 57 to get 9.
Fetch the next digit (8) from the dividend, attach it to 9 and continue: 98 / 16

Advancing to step 3:
The number 16 fits into 98 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
The remainder is 2 after subtracting 96 from 98.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 16

Moving on to step 4:
16 goes into 24 1 times with a remainder of 8.
The next digit of our result is 1. 
Result so far: 361.0
Deduct 16 from 24 and we're left with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 16

Moving on to step 5:
89 divided by 16 is 5 with a remainder of 9.
Record the quotient 5 as the next digit in the result. 
Result so far: 3615.0
The remainder is 9 after subtracting 80 from 89.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 16

Moving on to step 6:
16 goes into 98 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 36156.0
If we subtract 96 from 98, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
When dividing 20 by 16, we get 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 36156.1
Deduct 16 from 20 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
40 divided by 16 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 36156.12
If we subtract 32 from 40, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
If we divide 80 by 16, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 36156.125
If we take 80 away from 80, we end up 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.

Step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 36156.125
Subtracting 0 from 0 leaves us 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 11:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 36156.125
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.

The quotient of the division is 36156.125, and the remainder is 0.0.