Let's divide 678638 by 5
We want to divide 678638 by 5.

Let's proceed to step 1:
If we divide 6 by 5, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 5 from 6 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 5

Step 2:
5 can be fit into 17 3 times, resulting in 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.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 5

Moving on to step 3:
5 can be fit into 28 5 times, resulting in a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 135.0
The remainder is 3 after subtracting 25 from 28.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 5

Moving on to step 4:
If we divide 36 by 5, we get 7 and a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 1357.0
If we subtract 35 from 36, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 5

On to step 5:
13 divided by 5 is 2 with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 13572.0
Deduct 10 from 13 and we're left with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 5

Advancing to step 6:
The number 5 fits into 38 7 times, leaving a remainder of 3.
The next digit of our result is 7. 
Result so far: 135727.0
The remainder is 3 after subtracting 35 from 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
When dividing 30 by 5, we get 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 135727.6
Subtracting 30 from 30 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.

Let's proceed to step 8:
The number 5 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 135727.6
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.

On to step 9:
If we divide 0 by 5, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 135727.6
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.

The final outcome is 135727.6, with a leftover of 0.0.