488677 ÷ 10 
Our goal is to divide 488677 by 10.

Moving on to step 1:
10 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 10

Advancing to step 2:
If we divide 48 by 10, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 40 from 48 and we're left with 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 10

Step 3:
10 goes into 88 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 48.0
Subtract 80 from 88 to get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 10

Let's proceed to step 4:
86 divided by 10 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 488.0
Subtracting 80 from 86 leaves us with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 10

Going ahead to step 5:
If we divide 67 by 10, we get 6 and a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 4886.0
If we subtract 60 from 67, we get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 10

Moving on to step 6:
10 goes into 77 7 times with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 48867.0
Subtracting 70 from 77 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
10 goes into 70 7 times with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 48867.7
If we take 70 away from 70, 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.

Advancing to step 8:
10 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 48867.7
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.

Step 9:
10 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 48867.7
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 48867.7, with a leftover of 0.0.