To divide 3721 by 38 and find a whole number quotient and remainder, we can follow these steps:
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Perform the Division: We calculate how many times 38 can fit into 3721.
First, we can estimate:
- 38 goes into 372 approximately 10 times, since \( 38 \times 10 = 380 \) which is too high.
- Let's try a bit lower, like 9: \( 38 \times 9 = 342 \).
- This is a reasonable estimate, but we can try more values.
Now let's calculate it step by step:
\[ 3721 \div 38 \approx 97.42 \]
So the whole number portion of that division is 97.
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Multiply the Quotient by the Divisor: We find out how much of 3721 is accounted for by this quotient:
\[ 38 \times 97 = 3676 \]
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Calculate the Remainder: We subtract the product from the original number to find the remainder.
\[ 3721 - 3676 = 45 \]
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Final Result: Therefore, when you divide 3721 by 38, the quotient is 97 and the remainder is 45.
In summary:
\[ 3721 \div 38 = 97 \quad \text{R} 45 \]
Thus, 3721 divided by 38 gives a quotient of 97 with a remainder of 45.