Let's divide 378577 by 16
We're looking to find how many times 16 goes into 378577.

Advancing to step 1:
The number 16 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 16

Going ahead to step 2:
If we divide 37 by 16, we get 2 and a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 32 from 37 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 16

Advancing to step 3:
If we divide 58 by 16, we get 3 and a remainder of 10.
The next digit of our result is 3. 
Result so far: 23.0
If we subtract 48 from 58, we get 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 16

Advancing to step 4:
16 can be fit into 105 6 times, resulting in a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 236.0
Subtract 96 from 105 to get 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 16

Moving on to step 5:
When dividing 97 by 16, we get 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 2366.0
If we subtract 96 from 97, we get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 16

Going ahead to step 6:
16 goes into 17 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 23661.0
If we take 16 away from 17, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
If we divide 10 by 16, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 23661.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
16 goes into 100 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 23661.06
Subtracting 96 from 100 leaves us 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 9:
If we divide 40 by 16, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 23661.062
Subtracting 32 from 40 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.

Advancing to step 10:
16 goes into 80 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 23661.0625
Subtracting 80 from 80 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.

Moving on to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 23661.0625
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.

On to step 12:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 23661.0625
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.

After the division, we end up with 23661.0625 and a remainder of 0.0.