19817 ÷ 78 
We want to figure out the number of times 19817 can be divided by 78.

On to step 1:
1 divided by 78 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 78

Let's proceed to step 2:
When dividing 19 by 78, we get 0 with a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 19 leaves us with 19.
Bring next digit (8) of the dividend behind the 19 and repeat the process: 198 / 78

Advancing to step 3:
If we divide 198 by 78, we get 2 and a remainder of 42.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 156 from 198 to get 42.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 78

Moving on to step 4:
When dividing 421 by 78, we get 5 with a remainder of 31.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
The remainder is 31 after subtracting 390 from 421.
Take the next digit (7) from the dividend and append it to 31, then repeat: 317 / 78

Let's proceed to step 5:
The number 78 fits into 317 4 times, leaving a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 254.0
If we take 312 away from 317, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 6:
The number 78 fits into 50 0 times, leaving a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 254.0
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 7:
If we divide 500 by 78, we get 6 and a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 254.06
Deduct 468 from 500 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 8:
If we divide 320 by 78, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 254.064
Subtracting 312 from 320 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
78 can be fit into 80 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 254.0641
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
20 divided by 78 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 254.0641
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 11:
The number 78 fits into 200 2 times, leaving a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 254.064102
If we take 156 away from 200, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 12:
78 goes into 440 5 times with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 254.0641025
Subtract 390 from 440 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 13:
If we divide 500 by 78, we get 6 and a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 254.06410256
If we subtract 468 from 500, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 254.06410256, and the remainder is 3.2e-08.