We're dividing 376541 by 16 
Our goal is to divide 376541 by 16.

Going ahead to step 1:
The number 16 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 16

Step 2:
16 can be fit into 37 2 times, resulting in a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 32 from 37 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 16

Advancing to step 3:
If we divide 56 by 16, we get 3 and a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 23.0
Deduct 48 from 56 and we're left with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 16

Moving on to step 4:
The number 16 fits into 85 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 235.0
The remainder is 5 after subtracting 80 from 85.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 16

On to step 5:
54 divided by 16 is 3 with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 2353.0
Subtracting 48 from 54 leaves us with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 16

Step 6:
If we divide 61 by 16, we get 3 and a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 23533.0
The remainder is 13 after subtracting 48 from 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
16 goes into 130 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 23533.8
Deduct 128 from 130 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
20 divided by 16 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 23533.81
The remainder is 4 after subtracting 16 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
If we divide 40 by 16, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 23533.812
Subtract 32 from 40 to 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.

Let's proceed to step 10:
When dividing 80 by 16, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 23533.8125
Deduct 80 from 80 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.

Going ahead to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 23533.8125
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.

On to step 12:
If we divide 0 by 16, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 23533.8125
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.

The quotient of the division is 23533.8125, and the remainder is 0.0.