To solve \( 273 \div 13 \) using a model, you can apply the process of long division. Here’s a step-by-step explanation of how to get the answer:
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Set Up the Division: Write down 273 (the dividend) inside the long division symbol and 13 (the divisor) outside.
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Divide: Start by seeing how many times 13 can fit into the first part of 273.
- 13 does not fit into 2, so look at the first two digits, 27.
- 13 goes into 27 twice because \( 2 \times 13 = 26 \).
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Multiply and Subtract:
- Write 2 above the division bar (this is the first part of your quotient).
- Multiply 2 (the quotient) by 13 (the divisor) which equals 26.
- Subtract 26 from 27: \[ 27 - 26 = 1 \]
- Bring down the next digit, which is 3, making it 13.
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Repeat the Process: Now, divide 13 by 13.
- 13 goes into 13 exactly once.
- Write 1 next to the 2 in the quotient (making it 21).
- Multiply 1 by 13, which equals 13.
- Subtract 13 from 13: \[ 13 - 13 = 0 \]
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Final Result: Since there are no more digits to bring down and the remainder is 0, you have fully divided.
Thus, the answer to \( 273 \div 13 \) is \( 21 \).