729431 ÷ 78 
We want to figure out the number of times 729431 can be divided by 78.

Let's proceed to step 1:
78 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 78

Let's proceed to step 2:
When dividing 72 by 78, we get 0 with a remainder of 72.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 72 to get 72.
Fetch the next digit (9) from the dividend, attach it to 72 and continue: 729 / 78

Advancing to step 3:
If we divide 729 by 78, we get 9 and a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Deduct 702 from 729 and we're left with 27.
Grab the next digit (4) from the dividend, add it to 27, then carry on: 274 / 78

Let's proceed to step 4:
78 goes into 274 3 times with a remainder of 40.
Write down 3 as next digit of the result. 
Result so far: 93.0
Subtracting 234 from 274 leaves us with 40.
Take the next digit (3) from the dividend and append it to 40, then repeat: 403 / 78

On to step 5:
78 goes into 403 5 times with a remainder of 13.
Write down 5 as next digit of the result. 
Result so far: 935.0
If we subtract 390 from 403, we get 13.
Grab the next digit (1) from the dividend, add it to 13, then carry on: 131 / 78

Moving on to step 6:
131 divided by 78 is 1 with a remainder of 53.
Write down 1 as next digit of the result. 
Result so far: 9351.0
Subtracting 78 from 131 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 7:
78 can be fit into 530 6 times, resulting in a remainder of 62.
Record the quotient 6 as the next digit in the result. 
Result so far: 9351.6
If we subtract 468 from 530, we 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.

Let's proceed to step 8:
If we divide 620 by 78, we get 7 and a remainder of 74.
Use 7 as the next digit of our solution. 
Result so far: 9351.67
Subtract 546 from 620 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 9:
78 can be fit into 740 9 times, resulting in a remainder of 38.
The number 9 becomes the next digit in our result. 
Result so far: 9351.679
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.

Step 10:
If we divide 380 by 78, we get 4 and a remainder of 68.
The number 4 becomes the next digit in our result. 
Result so far: 9351.6794
If we subtract 312 from 380, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 11:
78 goes into 680 8 times with a remainder of 56.
The number 8 becomes the next digit in our result. 
Result so far: 9351.67948
If we subtract 624 from 680, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 12:
The number 78 fits into 560 7 times, leaving a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 9351.679487
The remainder is 14 after subtracting 546 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 13:
If we divide 140 by 78, we get 1 and a remainder of 62.
Record the quotient 1 as the next digit in the result. 
Result so far: 9351.6794871
Subtracting 78 from 140 leaves us 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 14:
78 goes into 620 7 times with a remainder of 74.
Write down 7 as next digit of the result. 
Result so far: 9351.67948717
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.

In conclusion, the division gives 9351.67948717 with a balance of 7.4e-08.