We're dividing 471553 by 78 
Our goal is to divide 471553 by 78.

Going ahead to step 1:
78 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 78

Going ahead to step 2:
78 can be fit into 47 0 times, resulting in a remainder of 47.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 47, we get 47.
Grab the next digit (1) from the dividend, add it to 47, then carry on: 471 / 78

Advancing to step 3:
78 can be fit into 471 6 times, resulting in a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 3 after subtracting 468 from 471.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 78

Advancing to step 4:
The number 78 fits into 35 0 times, leaving a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 60.0
Deduct 0 from 35 and we're left with 35.
Take the next digit (5) from the dividend and append it to 35, then repeat: 355 / 78

Step 5:
The number 78 fits into 355 4 times, leaving a remainder of 43.
The next digit of our result is 4. 
Result so far: 604.0
If we take 312 away from 355, we end up with 43.
Include the next digit (3) from the dividend after 43, then repeat: 433 / 78

Let's proceed to step 6:
433 divided by 78 is 5 with a remainder of 43.
Record the quotient 5 as the next digit in the result. 
Result so far: 6045.0
Deduct 390 from 433 and we're left 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.

Step 7:
78 can be fit into 430 5 times, resulting in a remainder of 40.
The next digit of our result is 5. 
Result so far: 6045.5
The remainder is 40 after subtracting 390 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
78 goes into 400 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 6045.55
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.

The final result is 6045.55 with a remainder of 0.01.