We're dividing 258429 by 78 
We want to figure out the number of times 258429 can be divided by 78.

Moving on to step 1:
When dividing 2 by 78, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 78

Moving on to step 2:
When dividing 25 by 78, we get 0 with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Take the next digit (8) from the dividend and append it to 25, then repeat: 258 / 78

Going ahead to step 3:
258 divided by 78 is 3 with a remainder of 24.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 24 after subtracting 234 from 258.
Grab the next digit (4) from the dividend, add it to 24, then carry on: 244 / 78

On to step 4:
78 can be fit into 244 3 times, resulting in a remainder of 10.
The next digit of our result is 3. 
Result so far: 33.0
If we subtract 234 from 244, we get 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 78

Let's proceed to step 5:
78 goes into 102 1 times with a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 331.0
Deduct 78 from 102 and we're left with 24.
Append the next digit (9) from the dividend to 24 and continue with: 249 / 78

Going ahead to step 6:
When dividing 249 by 78, we get 3 with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 3313.0
Deduct 234 from 249 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
150 divided by 78 is 1 with a remainder of 72.
The next digit of our result is 1. 
Result so far: 3313.1
Subtracting 78 from 150 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.

Going ahead to step 8:
If we divide 720 by 78, we get 9 and a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 3313.19
If we subtract 702 from 720, we get 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 9:
When dividing 180 by 78, we get 2 with a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 3313.192
The remainder is 24 after subtracting 156 from 180.
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 10:
When dividing 240 by 78, we get 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 3313.1923
Deduct 234 from 240 and we're left 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.

Going ahead to step 11:
78 goes into 60 0 times with a remainder of 60.
The next digit of our result is 0. 
Result so far: 3313.1923
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 12:
78 goes into 600 7 times with a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 3313.192307
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.

Moving on to step 13:
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: 3313.1923076
The remainder is 72 after subtracting 468 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 14:
If we divide 720 by 78, we get 9 and a remainder of 18.
The next digit of our result is 9. 
Result so far: 3313.19230769
Subtracting 702 from 720 leaves us 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.

In conclusion, the division gives 3313.19230769 with a balance of 1.8e-08.