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Answer :
To find the quotient and remainder when dividing 567 by 4, we follow these steps:
1. Divide the numbers: Start by dividing 567 by 4.
- Begin with the first digit of 567, which is 5. Since 5 divided by 4 is 1 with a remainder, our first quotient digit is 1.
2. Subtract and bring down: Subtract [tex]\( 1 \times 4 = 4 \)[/tex] from 5 to get 1. Bring down the next digit of 567, which is 6, making it 16.
3. Continue dividing: Divide 16 by 4, which equals 4.
4. Subtract and bring down: Subtract [tex]\( 4 \times 4 = 16 \)[/tex] from 16 to get 0. Bring down the last digit of 567, which is 7, making it 07.
5. Final division: Divide 7 by 4, which gives us 1 with a remainder of 3 because [tex]\( 4 \times 1 = 4 \)[/tex] and 7 minus 4 leaves a remainder of 3.
Putting it all together, the complete quotient is [tex]\( 141 \)[/tex] and the remainder is [tex]\( 3 \)[/tex]. So, the quotient of 567 divided by 4 is [tex]\( 141\)[/tex] with a remainder of [tex]\( 3 \)[/tex].
Thus, the correct answer is:
141 r 3
1. Divide the numbers: Start by dividing 567 by 4.
- Begin with the first digit of 567, which is 5. Since 5 divided by 4 is 1 with a remainder, our first quotient digit is 1.
2. Subtract and bring down: Subtract [tex]\( 1 \times 4 = 4 \)[/tex] from 5 to get 1. Bring down the next digit of 567, which is 6, making it 16.
3. Continue dividing: Divide 16 by 4, which equals 4.
4. Subtract and bring down: Subtract [tex]\( 4 \times 4 = 16 \)[/tex] from 16 to get 0. Bring down the last digit of 567, which is 7, making it 07.
5. Final division: Divide 7 by 4, which gives us 1 with a remainder of 3 because [tex]\( 4 \times 1 = 4 \)[/tex] and 7 minus 4 leaves a remainder of 3.
Putting it all together, the complete quotient is [tex]\( 141 \)[/tex] and the remainder is [tex]\( 3 \)[/tex]. So, the quotient of 567 divided by 4 is [tex]\( 141\)[/tex] with a remainder of [tex]\( 3 \)[/tex].
Thus, the correct answer is:
141 r 3
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