We divide 5355 by 78
We want to divide 5355 by 78.

Advancing to step 1:
5 divided by 78 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 78

On to step 2:
53 divided by 78 is 0 with a remainder of 53.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 53, we end up with 53.
Bring next digit (5) of the dividend behind the 53 and repeat the process: 535 / 78

Advancing to step 3:
When dividing 535 by 78, we get 6 with a remainder of 67.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 468 from 535 leaves us with 67.
Grab the next digit (5) from the dividend, add it to 67, then carry on: 675 / 78

On to step 4:
675 divided by 78 is 8 with a remainder of 51.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
If we subtract 624 from 675, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Moving on to step 5:
The number 78 fits into 510 6 times, leaving a remainder of 42.
The next digit of our result is 6. 
Result so far: 68.6
Subtract 468 from 510 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 6:
The number 78 fits into 420 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 68.65
Subtracting 390 from 420 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
When dividing 300 by 78, we get 3 with a remainder of 66.
The number 3 becomes the next digit in our result. 
Result so far: 68.653
The remainder is 66 after subtracting 234 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 8:
78 goes into 660 8 times with a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 68.6538
Subtract 624 from 660 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
360 divided by 78 is 4 with a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 68.65384
Deduct 312 from 360 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 10:
The number 78 fits into 480 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 68.653846
If we take 468 away from 480, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
The number 78 fits into 120 1 times, leaving a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 68.6538461
If we take 78 away from 120, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 12:
78 goes into 420 5 times with a remainder of 30.
The next digit of our result is 5. 
Result so far: 68.65384615
If we take 390 away from 420, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 68.65384615, and the remainder is 3e-08.