65878 ÷ 18 
Our goal is to divide 65878 by 18.

Moving on to step 1:
18 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 18

Advancing to step 2:
The number 18 fits into 65 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 54 away from 65, we end up with 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 18

Advancing to step 3:
18 goes into 118 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
Subtracting 108 from 118 leaves us with 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 18

Let's proceed to step 4:
The number 18 fits into 107 5 times, leaving a remainder of 17.
The next digit of our result is 5. 
Result so far: 365.0
Subtract 90 from 107 to get 17.
Bring next digit (8) of the dividend behind the 17 and repeat the process: 178 / 18

Advancing to step 5:
The number 18 fits into 178 9 times, leaving a remainder of 16.
The next digit of our result is 9. 
Result so far: 3659.0
If we take 162 away from 178, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 6:
When dividing 160 by 18, we get 8 with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 3659.8
Subtract 144 from 160 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
18 can be fit into 160 8 times, resulting in a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 3659.88
The remainder is 16 after subtracting 144 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 3659.88 with a remaining 0.016.