We're dividing 738518 by 78 
Our goal is to divide 738518 by 78.

Advancing to step 1:
7 divided by 78 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 78

Going ahead to step 2:
73 divided by 78 is 0 with a remainder of 73.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 73 to get 73.
Take the next digit (8) from the dividend and append it to 73, then repeat: 738 / 78

Let's proceed to step 3:
738 divided by 78 is 9 with a remainder of 36.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 702 from 738 to get 36.
Append the next digit (5) from the dividend to 36 and continue with: 365 / 78

On to step 4:
When dividing 365 by 78, we get 4 with a remainder of 53.
Use 4 as the next digit of our solution. 
Result so far: 94.0
Subtracting 312 from 365 leaves us with 53.
Include the next digit (1) from the dividend after 53, then repeat: 531 / 78

Step 5:
If we divide 531 by 78, we get 6 and a remainder of 63.
Record the quotient 6 as the next digit in the result. 
Result so far: 946.0
Subtracting 468 from 531 leaves us with 63.
Grab the next digit (8) from the dividend, add it to 63, then carry on: 638 / 78

Moving on to step 6:
78 can be fit into 638 8 times, resulting in a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 9468.0
If we subtract 624 from 638, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
140 divided by 78 is 1 with a remainder of 62.
Write down 1 as next digit of the result. 
Result so far: 9468.1
Deduct 78 from 140 and we're left 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.

On to step 8:
The number 78 fits into 620 7 times, leaving a remainder of 74.
Write down 7 as next digit of the result. 
Result so far: 9468.17
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.

Step 9:
740 divided by 78 is 9 with a remainder of 38.
The next digit of our result is 9. 
Result so far: 9468.179
The remainder is 38 after subtracting 702 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 10:
The number 78 fits into 380 4 times, leaving a remainder of 68.
Put 4 as the next digit of the answer. 
Result so far: 9468.1794
Subtracting 312 from 380 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 11:
78 goes into 680 8 times with a remainder of 56.
The next digit of our result is 8. 
Result so far: 9468.17948
Deduct 624 from 680 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 12:
When dividing 560 by 78, we get 7 with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 9468.179487
Subtracting 546 from 560 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 13:
When dividing 140 by 78, we get 1 with a remainder of 62.
The number 1 becomes the next digit in our result. 
Result so far: 9468.1794871
Deduct 78 from 140 and we're left 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:
620 divided by 78 is 7 with a remainder of 74.
The number 7 becomes the next digit in our result. 
Result so far: 9468.17948717
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.

In conclusion, the division gives 9468.17948717 with a balance of 7.4e-08.