286902 ÷ 78 
Our goal is to divide 286902 by 78.

Let's proceed to step 1:
78 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 78

Step 2:
78 can be fit into 28 0 times, resulting in a remainder of 28.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 28, we end up with 28.
Take the next digit (6) from the dividend and append it to 28, then repeat: 286 / 78

Advancing to step 3:
When dividing 286 by 78, we get 3 with a remainder of 52.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 234 from 286 to get 52.
Append the next digit (9) from the dividend to 52 and continue with: 529 / 78

On to step 4:
If we divide 529 by 78, we get 6 and a remainder of 61.
Use 6 as the next digit of our solution. 
Result so far: 36.0
Subtracting 468 from 529 leaves us with 61.
Grab the next digit (0) from the dividend, add it to 61, then carry on: 610 / 78

Going ahead to step 5:
78 can be fit into 610 7 times, resulting in a remainder of 64.
The number 7 becomes the next digit in our result. 
Result so far: 367.0
Subtracting 546 from 610 leaves us with 64.
Include the next digit (2) from the dividend after 64, then repeat: 642 / 78

Let's proceed to step 6:
When dividing 642 by 78, we get 8 with a remainder of 18.
The next digit of our result is 8. 
Result so far: 3678.0
If we take 624 away from 642, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 7:
The number 78 fits into 180 2 times, leaving a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 3678.2
If we subtract 156 from 180, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
The number 78 fits into 240 3 times, leaving a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 3678.23
If we subtract 234 from 240, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
60 divided by 78 is 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 3678.23
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 10:
600 divided by 78 is 7 with a remainder of 54.
The number 7 becomes the next digit in our result. 
Result so far: 3678.2307
Deduct 546 from 600 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 11:
If we divide 540 by 78, we get 6 and a remainder of 72.
The number 6 becomes the next digit in our result. 
Result so far: 3678.23076
Subtracting 468 from 540 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 12:
720 divided by 78 is 9 with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 3678.230769
Deduct 702 from 720 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 13:
78 can be fit into 180 2 times, resulting in a remainder of 24.
The next digit of our result is 2. 
Result so far: 3678.2307692
If we subtract 156 from 180, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 14:
78 goes into 240 3 times with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 3678.23076923
Subtracting 234 from 240 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 3678.23076923 with a balance of 6e-09.