We look at the division of 754225 by 78 
Let's see how many times 78 fits into 754225.

Step 1:
When dividing 7 by 78, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 78

Moving on to step 2:
When dividing 75 by 78, we get 0 with a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 75 to get 75.
Include the next digit (4) from the dividend after 75, then repeat: 754 / 78

Step 3:
When dividing 754 by 78, we get 9 with a remainder of 52.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 702 from 754 to get 52.
Include the next digit (2) from the dividend after 52, then repeat: 522 / 78

Advancing to step 4:
522 divided by 78 is 6 with a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 96.0
The remainder is 54 after subtracting 468 from 522.
Take the next digit (2) from the dividend and append it to 54, then repeat: 542 / 78

Advancing to step 5:
When dividing 542 by 78, we get 6 with a remainder of 74.
Write down 6 as next digit of the result. 
Result so far: 966.0
If we take 468 away from 542, we end up with 74.
Bring next digit (5) of the dividend behind the 74 and repeat the process: 745 / 78

On to step 6:
78 can be fit into 745 9 times, resulting in a remainder of 43.
Record the quotient 9 as the next digit in the result. 
Result so far: 9669.0
Subtracting 702 from 745 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 7:
430 divided by 78 is 5 with a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 9669.5
If we take 390 away from 430, we end up 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 8:
When dividing 400 by 78, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 9669.55
Subtracting 390 from 400 leaves us 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.

After the division, we end up with 9669.55 and a remainder of 0.01.