544577 ÷ 8 
We want to divide 544577 by 8.

Step 1:
If we divide 5 by 8, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 8

Let's proceed to step 2:
54 divided by 8 is 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 48 from 54 and we're left with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 8

Moving on to step 3:
The number 8 fits into 64 8 times, leaving a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
Deduct 64 from 64 and we're left with 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 8

On to step 4:
8 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 680.0
Subtract 0 from 5 to get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 8

Moving on to step 5:
57 divided by 8 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 6807.0
If we subtract 56 from 57, we get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 8

On to step 6:
8 can be fit into 17 2 times, resulting in a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 68072.0
Subtract 16 from 17 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
10 divided by 8 is 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 68072.1
Deduct 8 from 10 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.

Step 8:
8 goes into 20 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 68072.12
Deduct 16 from 20 and we're left 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.

Moving on to step 9:
If we divide 40 by 8, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 68072.125
Subtract 40 from 40 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.

Advancing to step 10:
When dividing 0 by 8, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 68072.125
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.

Moving on to step 11:
The number 8 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 68072.125
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.

The final outcome is 68072.125, with a leftover of 0.0.