We're dividing 135269 by 78 
Our goal is to divide 135269 by 78.

On to step 1:
78 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 78

On to step 2:
78 can be fit into 13 0 times, resulting in a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 78

Step 3:
If we divide 135 by 78, we get 1 and a remainder of 57.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 78 from 135, we get 57.
Take the next digit (2) from the dividend and append it to 57, then repeat: 572 / 78

Going ahead to step 4:
If we divide 572 by 78, we get 7 and a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we subtract 546 from 572, we get 26.
Include the next digit (6) from the dividend after 26, then repeat: 266 / 78

Step 5:
When dividing 266 by 78, we get 3 with a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 173.0
If we subtract 234 from 266, we get 32.
Bring next digit (9) of the dividend behind the 32 and repeat the process: 329 / 78

Let's proceed to step 6:
If we divide 329 by 78, we get 4 and a remainder of 17.
The next digit of our result is 4. 
Result so far: 1734.0
Subtracting 312 from 329 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
170 divided by 78 is 2 with a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 1734.2
Subtracting 156 from 170 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
140 divided by 78 is 1 with a remainder of 62.
Put 1 as the next digit of the answer. 
Result so far: 1734.21
If we take 78 away from 140, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 9:
78 can be fit into 620 7 times, resulting in a remainder of 74.
The number 7 becomes the next digit in our result. 
Result so far: 1734.217
Subtracting 546 from 620 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 10:
78 goes into 740 9 times with a remainder of 38.
Put 9 as the next digit of the answer. 
Result so far: 1734.2179
If we take 702 away from 740, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 11:
78 goes into 380 4 times with a remainder of 68.
Write down 4 as next digit of the result. 
Result so far: 1734.21794
The remainder is 68 after subtracting 312 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 12:
78 goes into 680 8 times with a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 1734.217948
If we take 624 away from 680, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 13:
78 goes into 560 7 times with a remainder of 14.
The next digit of our result is 7. 
Result so far: 1734.2179487
Subtract 546 from 560 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 14:
140 divided by 78 is 1 with a remainder of 62.
Use 1 as the next digit of our solution. 
Result so far: 1734.21794871
Subtract 78 from 140 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Our division results in 1734.21794871 with a remaining 6.2e-08.