We're dividing 581729 by 78 
We're looking to find how many times 78 goes into 581729.

Advancing to step 1:
If we divide 5 by 78, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 78

On to step 2:
If we divide 58 by 78, we get 0 and a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Bring next digit (1) of the dividend behind the 58 and repeat the process: 581 / 78

Step 3:
78 can be fit into 581 7 times, resulting in a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 546 from 581 leaves us with 35.
Grab the next digit (7) from the dividend, add it to 35, then carry on: 357 / 78

Let's proceed to step 4:
357 divided by 78 is 4 with a remainder of 45.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
If we take 312 away from 357, we end up with 45.
Take the next digit (2) from the dividend and append it to 45, then repeat: 452 / 78

Let's proceed to step 5:
78 goes into 452 5 times with a remainder of 62.
Write down 5 as next digit of the result. 
Result so far: 745.0
If we take 390 away from 452, we end up with 62.
Include the next digit (9) from the dividend after 62, then repeat: 629 / 78

Step 6:
The number 78 fits into 629 8 times, leaving a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 7458.0
Subtracting 624 from 629 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
78 goes into 50 0 times with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 7458.0
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
78 can be fit into 500 6 times, resulting in a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 7458.06
Subtracting 468 from 500 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
320 divided by 78 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 7458.064
Subtracting 312 from 320 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
80 divided by 78 is 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 7458.0641
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 11:
When dividing 20 by 78, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 7458.0641
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
The number 78 fits into 200 2 times, leaving a remainder of 44.
The next digit of our result is 2. 
Result so far: 7458.064102
Subtract 156 from 200 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 13:
440 divided by 78 is 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 7458.0641025
Deduct 390 from 440 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 14:
78 can be fit into 500 6 times, resulting in a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 7458.06410256
Subtract 468 from 500 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 7458.06410256 with a balance of 3.2e-08.