678781 ÷ 5 
Our goal is to divide 678781 by 5.

Going ahead to step 1:
5 can be fit into 6 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 5 from 6, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 5

Moving on to step 2:
The number 5 fits into 17 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we subtract 15 from 17, we get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 5

On to step 3:
If we divide 28 by 5, we get 5 and a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 135.0
Deduct 25 from 28 and we're left with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 5

Step 4:
5 goes into 37 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 1357.0
If we subtract 35 from 37, we get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 5

Let's proceed to step 5:
5 goes into 28 5 times with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 13575.0
If we take 25 away from 28, we end up with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 5

Let's proceed to step 6:
The number 5 fits into 31 6 times, leaving a remainder of 1.
The next digit of our result is 6. 
Result so far: 135756.0
The remainder is 1 after subtracting 30 from 31.
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 5 is 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 135756.2
If we subtract 10 from 10, 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.

Step 8:
When dividing 0 by 5, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 135756.2
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.

Going ahead to step 9:
5 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 135756.2
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 quotient of the division is 135756.2, and the remainder is 0.0.