We look at the division of 105936 by 78 
We want to figure out the number of times 105936 can be divided by 78.

Moving on to step 1:
The number 78 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 78

Advancing to step 2:
78 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 78

On to step 3:
When dividing 105 by 78, we get 1 with a remainder of 27.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 78 from 105 leaves us with 27.
Grab the next digit (9) from the dividend, add it to 27, then carry on: 279 / 78

Let's proceed to step 4:
78 goes into 279 3 times with a remainder of 45.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
The remainder is 45 after subtracting 234 from 279.
Bring next digit (3) of the dividend behind the 45 and repeat the process: 453 / 78

Moving on to step 5:
If we divide 453 by 78, we get 5 and a remainder of 63.
Record the quotient 5 as the next digit in the result. 
Result so far: 135.0
Deduct 390 from 453 and we're left with 63.
Grab the next digit (6) from the dividend, add it to 63, then carry on: 636 / 78

Going ahead to step 6:
When dividing 636 by 78, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 1358.0
If we subtract 624 from 636, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
120 divided by 78 is 1 with a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 1358.1
Deduct 78 from 120 and we're left 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.

Advancing to step 8:
If we divide 420 by 78, we get 5 and a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 1358.15
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.

Let's proceed to step 9:
When dividing 300 by 78, we get 3 with a remainder of 66.
Record the quotient 3 as the next digit in the result. 
Result so far: 1358.153
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.

Moving on to step 10:
If we divide 660 by 78, we get 8 and a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 1358.1538
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.

Let's proceed to step 11:
78 goes into 360 4 times with a remainder of 48.
The next digit of our result is 4. 
Result so far: 1358.15384
The remainder is 48 after subtracting 312 from 360.
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 12:
If we divide 480 by 78, we get 6 and a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 1358.153846
The remainder is 12 after subtracting 468 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
120 divided by 78 is 1 with a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 1358.1538461
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.

On to step 14:
78 can be fit into 420 5 times, resulting in a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 1358.15384615
Subtract 390 from 420 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 1358.15384615 and a remainder of 3e-08.