Certainly! Let's solve the long division problem \( 5024 \div 24 \) step by step:
1. Setup the Problem:
- We need to divide 5024 by 24.
2. Divide:
- Take the first two digits of the dividend (50 in 5024) to see if they are divisible by 24.
- \(50 \div 24\) goes 2 times.
- So, we write 2 above the long division bar.
3. Multiply and Subtract:
- Multiply the current divisor (24) by the quotient digit (2): \(24 \times 2 = 48\).
- Subtract this product (48) from the current portion of the dividend (50): \(50 - 48 = 2\).
So, we have:
[tex]\[
\begin{array}{r|l}
2 & 5024\\
-48 & \\
\cline{2-2}
2 &
\end{array}
\][/tex]
4. Bring Down the Next Digit:
- Bring down the next digit of the dividend, which is 2 from 5024, making the number 22.
5. Divide Again:
- Divide 22 by 24. Since 22 is less than 24, we write 0 in the quotient next to 2.
[tex]\[
\begin{array}{r|l}
20 & 5024\\
-48 & \\
\cline{2-2}
2 &\\
-0
\end{array}
\][/tex]
6. Bring Down the Next Digit:
- Bring down the next digit of the dividend, which is 4 from 5024, making it 24.
7. Divide:
- Divide 24 by 24. It goes 1 time.
- So, we write 1 in the quotient next to 20.
[tex]\[
\begin{array}{r|l}
209 & 5024\\
-48 & \\
\cline{2-2}
22 &\\
-24 &\\
0 &
\end{array}
\][/tex]
8. Multiply and Subtract:
- Multiply the divisor (24) by 1: \(24 \times 1 = 24\).
- Subtract the product (24) from the current number (24): \(24 - 24 = 0\).
Since the next digit completes our dividend and yields 0, our final quotient is 209, and the remainder is what we have left.
Final Answer:
- Quotient: 209
- Remainder: 8
Hence, the result of the long division \( 5024 \div 24 \) is:
Quotient = 209
Remainder = 8
