We're dividing 219557 by 78 
We're looking to find how many times 78 goes into 219557.

On to step 1:
78 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 78

On to step 2:
If we divide 21 by 78, we get 0 and a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 21 leaves us with 21.
Bring next digit (9) of the dividend behind the 21 and repeat the process: 219 / 78

Going ahead to step 3:
The number 78 fits into 219 2 times, leaving a remainder of 63.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 156 from 219, we get 63.
Include the next digit (5) from the dividend after 63, then repeat: 635 / 78

Step 4:
If we divide 635 by 78, we get 8 and a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 28.0
If we take 624 away from 635, we end up with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 78

Step 5:
The number 78 fits into 115 1 times, leaving a remainder of 37.
Record the quotient 1 as the next digit in the result. 
Result so far: 281.0
Subtract 78 from 115 to get 37.
Grab the next digit (7) from the dividend, add it to 37, then carry on: 377 / 78

Going ahead to step 6:
78 goes into 377 4 times with a remainder of 65.
Put 4 as the next digit of the answer. 
Result so far: 2814.0
The remainder is 65 after subtracting 312 from 377.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 7:
When dividing 650 by 78, we get 8 with a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 2814.8
The remainder is 26 after subtracting 624 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
When dividing 260 by 78, we get 3 with a remainder of 26.
The next digit of our result is 3. 
Result so far: 2814.83
If we subtract 234 from 260, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 9:
When dividing 260 by 78, we get 3 with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 2814.833
Subtract 234 from 260 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 2814.833 and a remainder of 0.0026.