The problem is to divide $9567$ by $624$. We need to find the quotient and the remainder.

ArithmeticDivisionLong DivisionQuotientRemainder
2025/4/19

1. Problem Description

The problem is to divide 95679567 by 624624. We need to find the quotient and the remainder.

2. Solution Steps

We perform long division.
* First, we see how many times 624624 goes into 956956. Since 624×1=624624 \times 1 = 624 and 624×2=1248624 \times 2 = 1248, 624624 goes into 956956 once. So the first digit of the quotient is 11. We write 11 above the 66 in 95679567.
956624=332956 - 624 = 332.
* Next, we bring down the 77 from 95679567 to get 33273327.
* We see how many times 624624 goes into 33273327.
624×5=3120624 \times 5 = 3120
624×6=3744624 \times 6 = 3744
So 624624 goes into 33273327 five times. We write 55 next to the 11 in the quotient.
33273120=2073327 - 3120 = 207.
* The quotient is 1515 and the remainder is 207207.
\begin{array}{c|cc cc}
\multicolumn{2}{r}{1} & 5 \\
\cline{2-5}
624 & 9 & 5 & 6 & 7 \\
\multicolumn{2}{r}{6} & 2 & 4 \\
\cline{2-4}
\multicolumn{2}{r}{3} & 3 & 2 & 7 \\
\multicolumn{2}{r}{3} & 1 & 2 & 0 \\
\cline{3-5}
\multicolumn{2}{r}{} & 2 & 0 & 7 \\
\end{array}

3. Final Answer

The quotient is 15 and the remainder is
2
0

7. So, $9567 \div 624 = 15$ with a remainder of $207$.

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