577378 ÷ 16 
Our goal is to divide 577378 by 16.

Advancing to step 1:
16 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 16

Advancing to step 2:
16 can be fit into 57 3 times, resulting in a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 48 from 57 and we're left with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 16

Going ahead to step 3:
When dividing 97 by 16, we get 6 with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 36.0
If we subtract 96 from 97, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 16

Let's proceed to step 4:
16 can be fit into 13 0 times, resulting in a remainder of 13.
The next digit of our result is 0. 
Result so far: 360.0
If we subtract 0 from 13, we get 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 16

Going ahead to step 5:
137 divided by 16 is 8 with a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 3608.0
If we take 128 away from 137, we end up with 9.
Fetch the next digit (8) from the dividend, attach it to 9 and continue: 98 / 16

Moving on to step 6:
The number 16 fits into 98 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 36086.0
If we take 96 away from 98, we end up 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.

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: 36086.1
If we subtract 16 from 20, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
16 can be fit into 40 2 times, resulting in a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 36086.12
If we take 32 away from 40, we end up 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.

Going ahead to step 9:
16 goes into 80 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 36086.125
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 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 36086.125
If we take 0 away from 0, 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.

Moving on to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 36086.125
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 final outcome is 36086.125, with a leftover of 0.0.