677817 ÷ 16 
We want to divide 677817 by 16.

Let's proceed to step 1:
6 divided by 16 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 16

Let's proceed to step 2:
67 divided by 16 is 4 with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 64 from 67, we get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 16

Advancing to step 3:
The number 16 fits into 37 2 times, leaving a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 42.0
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

Moving on to step 4:
58 divided by 16 is 3 with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 423.0
Subtracting 48 from 58 leaves us with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 16

Step 5:
When dividing 101 by 16, we get 6 with a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 4236.0
Subtracting 96 from 101 leaves us with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 16

Let's proceed to step 6:
The number 16 fits into 57 3 times, leaving a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 42363.0
If we subtract 48 from 57, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
90 divided by 16 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 42363.5
The remainder is 10 after subtracting 80 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
16 goes into 100 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 42363.56
Subtract 96 from 100 to 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.

Going ahead to step 9:
40 divided by 16 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 42363.562
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.

Moving on to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 42363.5625
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.

Moving on to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 42363.5625
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.

Step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 42363.5625
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.

In conclusion, the division gives 42363.5625 with a balance of 0.0.