105225 divided by 78 
We want to figure out the number of times 105225 can be divided by 78.

On to step 1:
If we divide 1 by 78, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 78

Moving on to step 2:
10 divided by 78 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 78

Moving on to step 3:
The number 78 fits into 105 1 times, leaving a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 78 away from 105, we end up with 27.
Bring next digit (2) of the dividend behind the 27 and repeat the process: 272 / 78

Step 4:
The number 78 fits into 272 3 times, leaving a remainder of 38.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtracting 234 from 272 leaves us with 38.
Grab the next digit (2) from the dividend, add it to 38, then carry on: 382 / 78

Step 5:
If we divide 382 by 78, we get 4 and a remainder of 70.
The next digit of our result is 4. 
Result so far: 134.0
Deduct 312 from 382 and we're left with 70.
Include the next digit (5) from the dividend after 70, then repeat: 705 / 78

On to step 6:
If we divide 705 by 78, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 1349.0
Subtracting 702 from 705 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
When dividing 30 by 78, we get 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1349.0
Subtracting 0 from 30 leaves us 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.

Advancing to step 8:
78 goes into 300 3 times with a remainder of 66.
Write down 3 as next digit of the result. 
Result so far: 1349.03
Subtract 234 from 300 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 9:
660 divided by 78 is 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 1349.038
Deduct 624 from 660 and we're left with 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 10:
360 divided by 78 is 4 with a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 1349.0384
Subtracting 312 from 360 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 11:
If we divide 480 by 78, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 1349.03846
If we subtract 468 from 480, 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.

Step 12:
The number 78 fits into 120 1 times, leaving a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 1349.038461
The remainder is 42 after subtracting 78 from 120.
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 13:
420 divided by 78 is 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 1349.0384615
Subtracting 390 from 420 leaves us 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.

Moving on to step 14:
78 goes into 300 3 times with a remainder of 66.
The number 3 becomes the next digit in our result. 
Result so far: 1349.03846153
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.

The final outcome is 1349.03846153, with a leftover of 6.6e-08.