We look at the division of 81913 by 78 
We want to divide 81913 by 78.

Step 1:
78 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 78

On to step 2:
The number 78 fits into 81 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 3 after subtracting 78 from 81.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 78

Step 3:
When dividing 39 by 78, we get 0 with a remainder of 39.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 39 after subtracting 0 from 39.
Include the next digit (1) from the dividend after 39, then repeat: 391 / 78

On to step 4:
391 divided by 78 is 5 with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
Subtracting 390 from 391 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 78

On to step 5:
78 can be fit into 13 0 times, resulting in a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 1050.0
Subtracting 0 from 13 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 6:
The number 78 fits into 130 1 times, leaving a remainder of 52.
Use 1 as the next digit of our solution. 
Result so far: 1050.1
Subtract 78 from 130 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 7:
78 can be fit into 520 6 times, resulting in a remainder of 52.
The next digit of our result is 6. 
Result so far: 1050.16
Deduct 468 from 520 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 8:
The number 78 fits into 520 6 times, leaving a remainder of 52.
Write down 6 as next digit of the result. 
Result so far: 1050.166
Subtracting 468 from 520 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Our division results in 1050.166 with a remaining 0.0052.