Let's divide 542259 by 16
We're looking to find how many times 16 goes into 542259.

Step 1:
When dividing 5 by 16, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 16

Moving on to step 2:
When dividing 54 by 16, we get 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 48 from 54 leaves us with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 16

Moving on to step 3:
If we divide 62 by 16, we get 3 and a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
Subtract 48 from 62 to get 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 16

Advancing to step 4:
16 can be fit into 142 8 times, resulting in a remainder of 14.
The next digit of our result is 8. 
Result so far: 338.0
If we take 128 away from 142, we end up with 14.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 16

Advancing to step 5:
The number 16 fits into 145 9 times, leaving a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 3389.0
If we subtract 144 from 145, we get 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 16

Step 6:
When dividing 19 by 16, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 33891.0
If we take 16 away from 19, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
When dividing 30 by 16, we get 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 33891.1
Subtracting 16 from 30 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
When dividing 140 by 16, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 33891.18
Subtract 128 from 140 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
16 goes into 120 7 times with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 33891.187
If we subtract 112 from 120, 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.

Step 10:
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: 33891.1875
Subtract 80 from 80 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 11:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 33891.1875
If we subtract 0 from 0, we 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.

Advancing to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 33891.1875
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.

The quotient of the division is 33891.1875, and the remainder is 0.0.