We divide 542671 by 16
We want to figure out the number of times 542671 can be divided by 16.

Step 1:
The number 16 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 16

Advancing to step 2:
The number 16 fits into 54 3 times, leaving a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 48 from 54 to get 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 16

Let's proceed to step 3:
When dividing 62 by 16, we get 3 with a remainder of 14.
The next digit of our result is 3. 
Result so far: 33.0
If we take 48 away from 62, we end up with 14.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 16

Let's proceed to step 4:
The number 16 fits into 146 9 times, leaving a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 339.0
Deduct 144 from 146 and we're left with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 16

Going ahead to step 5:
If we divide 27 by 16, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 3391.0
Deduct 16 from 27 and we're left with 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 16

Let's proceed to step 6:
When dividing 111 by 16, we get 6 with a remainder of 15.
Put 6 as the next digit of the answer. 
Result so far: 33916.0
If we take 96 away from 111, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
When dividing 150 by 16, we get 9 with a remainder of 6.
The next digit of our result is 9. 
Result so far: 33916.9
The remainder is 6 after subtracting 144 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
60 divided by 16 is 3 with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 33916.93
If we subtract 48 from 60, we 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.

Advancing to step 9:
If we divide 120 by 16, we get 7 and a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 33916.937
Subtracting 112 from 120 leaves us with 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 10:
80 divided by 16 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 33916.9375
The remainder is 0 after subtracting 80 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 33916.9375
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.

Moving on to step 12:
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: 33916.9375
The remainder is 0 after subtracting 0 from 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 33916.9375, and the remainder is 0.0.