We look at the division of 105358 by 78 
Let's see how many times 78 fits into 105358.

Moving on to step 1:
When dividing 1 by 78, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 78

On to step 2:
When dividing 10 by 78, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 78

Going ahead to step 3:
When dividing 105 by 78, we get 1 with a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 78 from 105, we get 27.
Fetch the next digit (3) from the dividend, attach it to 27 and continue: 273 / 78

Going ahead to step 4:
The number 78 fits into 273 3 times, leaving a remainder of 39.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Deduct 234 from 273 and we're left with 39.
Append the next digit (5) from the dividend to 39 and continue with: 395 / 78

Going ahead to step 5:
78 can be fit into 395 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 135.0
Subtracting 390 from 395 leaves us with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 78

Moving on to step 6:
78 can be fit into 58 0 times, resulting in a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 1350.0
If we subtract 0 from 58, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 7:
If we divide 580 by 78, we get 7 and a remainder of 34.
The next digit of our result is 7. 
Result so far: 1350.7
Subtracting 546 from 580 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
If we divide 340 by 78, we get 4 and a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 1350.74
The remainder is 28 after subtracting 312 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
If we divide 280 by 78, we get 3 and a remainder of 46.
The next digit of our result is 3. 
Result so far: 1350.743
Subtracting 234 from 280 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 10:
The number 78 fits into 460 5 times, leaving a remainder of 70.
The next digit of our result is 5. 
Result so far: 1350.7435
Subtract 390 from 460 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 11:
78 can be fit into 700 8 times, resulting in a remainder of 76.
Record the quotient 8 as the next digit in the result. 
Result so far: 1350.74358
If we subtract 624 from 700, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 12:
760 divided by 78 is 9 with a remainder of 58.
Record the quotient 9 as the next digit in the result. 
Result so far: 1350.743589
Subtract 702 from 760 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 13:
78 can be fit into 580 7 times, resulting in a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 1350.7435897
Deduct 546 from 580 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 14:
78 can be fit into 340 4 times, resulting in a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 1350.74358974
The remainder is 28 after subtracting 312 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 1350.74358974 with a remaining 2.8e-08.