Let's divide 25945 by 78
We want to figure out the number of times 25945 can be divided by 78.

Advancing to step 1:
If we divide 2 by 78, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 78

Moving on to step 2:
25 divided by 78 is 0 with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 78

On to step 3:
The number 78 fits into 259 3 times, leaving a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 234 from 259 leaves us with 25.
Fetch the next digit (4) from the dividend, attach it to 25 and continue: 254 / 78

Advancing to step 4:
When dividing 254 by 78, we get 3 with a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 33.0
The remainder is 20 after subtracting 234 from 254.
Append the next digit (5) from the dividend to 20 and continue with: 205 / 78

Step 5:
If we divide 205 by 78, we get 2 and a remainder of 49.
Use 2 as the next digit of our solution. 
Result so far: 332.0
The remainder is 49 after subtracting 156 from 205.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 6:
78 can be fit into 490 6 times, resulting in a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 332.6
If we take 468 away from 490, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
If we divide 220 by 78, we get 2 and a remainder of 64.
Put 2 as the next digit of the answer. 
Result so far: 332.62
The remainder is 64 after subtracting 156 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 8:
640 divided by 78 is 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 332.628
Deduct 624 from 640 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
If we divide 160 by 78, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 332.6282
If we take 156 away from 160, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
40 divided by 78 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 332.6282
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
78 can be fit into 400 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 332.628205
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
When dividing 100 by 78, we get 1 with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 332.6282051
If we take 78 away from 100, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 13:
If we divide 220 by 78, we get 2 and a remainder of 64.
The next digit of our result is 2. 
Result so far: 332.62820512
If we take 156 away from 220, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 332.62820512 with a balance of 6.4e-08.