We look at the division of 533377 by 78 
We want to divide 533377 by 78.

Going ahead to step 1:
5 divided by 78 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 78

On to step 2:
53 divided by 78 is 0 with a remainder of 53.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 53 after subtracting 0 from 53.
Take the next digit (3) from the dividend and append it to 53, then repeat: 533 / 78

Advancing to step 3:
The number 78 fits into 533 6 times, leaving a remainder of 65.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 468 away from 533, we end up with 65.
Fetch the next digit (3) from the dividend, attach it to 65 and continue: 653 / 78

On to step 4:
If we divide 653 by 78, we get 8 and a remainder of 29.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Deduct 624 from 653 and we're left with 29.
Append the next digit (7) from the dividend to 29 and continue with: 297 / 78

Let's proceed to step 5:
78 goes into 297 3 times with a remainder of 63.
Record the quotient 3 as the next digit in the result. 
Result so far: 683.0
Subtract 234 from 297 to get 63.
Append the next digit (7) from the dividend to 63 and continue with: 637 / 78

Step 6:
78 goes into 637 8 times with a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 6838.0
The remainder is 13 after subtracting 624 from 637.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
When dividing 130 by 78, we get 1 with a remainder of 52.
Record the quotient 1 as the next digit in the result. 
Result so far: 6838.1
Subtract 78 from 130 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 8:
520 divided by 78 is 6 with a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 6838.16
Subtract 468 from 520 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 9:
When dividing 520 by 78, we get 6 with a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 6838.166
If we take 468 away from 520, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 6838.166 with a balance of 0.0052.