To solve the long division problem stated:
You start with \( 780 \) and divide it by \( 72 \):
- Subtract \( 72 \) from \( 780 \) to get \( 60 \).
- Next, you take the \( 72 \) again and see how many times it goes into the next part of the number.
When you divide \( 780 \) by \( 72 \):
- The quotient can be found by how many times \( 72 \) fits into \( 780 \).
- Calculating \( 780 \div 72 \) gives you approximately \( 10.8333 \).
The integer part of the quotient is \( 10 \). However, in the context of your options, where it appears you are working with a larger problem or perhaps stacking numbers, you mention a remainder of \( 6 \).
This indicates that prior to this operation a quotient of \( 10 \) would suggest:
- You would get \( 10 \times 72 = 720 \).
- If you subtract \( 720 \) from \( 780 \) you confirm the remainder: \[ 780 - 720 = 60 \] This process confirms the initial steps you've stated.
Given your options, none explicitly match \( 10.83 \) but seems you are working with the ordinary interpretation of quotient extended to fractions.
Given:
- The quotient calculated yields \( 10 \) and with the decimal, you could effectively express it extending further into notation.
Given the \( 6 \) being a remainder and supposing the notation continuing with fraction part simplifying:
- We also see in your options 87 might be from rounding up, but actually this notation leads towards an approximation with \( 86\) firmly as the full interpretation using long division.
Thus, if rounding approaching it doesn't look relevant we've effectively just rounded past details but based on standard resolution the most direct answer to the quotient presented without extras remains essentially 86 unless you'd consult quarters and decimal parts.
Therefore the correct answer to your question of the quotient is: 86.