Let's follow the format provided in the example:

Example format:

19 ➗ 15 = 3 + 4/5 <—> 19 = 3(5) + 4

This is done using division and expressing the remainder as a fraction over the divisor.

Now, for each of the given problems:

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1) $29 \div 15$

• $29 \div 15 = 1$ with a remainder of $14$
• $29 \div 15 = 1 + 14/15$ <—> $29 = 1(15) + 14$

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2) $34 \div 7$

• $34 \div 7 = 4$ with a remainder of $6$
• $34 \div 7 = 4 + 6/7$ <—> $34 = 4(7) + 6$

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3) $145 \div 11$

• $145 \div 11 = 13$ with a remainder of $2$
• $145 \div 11 = 13 + 2/11$ <—> $145 = 13(11) + 2$

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4) $122 \div 7$

• $122 \div 7 = 17$ with a remainder of $3$
• $122 \div 7 = 17 + 3/7$ <—> $122 = 17(7) + 3$

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5) $219 \div 15$

• $219 \div 15 = 14$ with a remainder of $9$
• $219 \div 15 = 14 + 9/15$ <—> $219 = 14(15) + 9$

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If you'd like further details or clarifications, feel free to ask!

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Here are 5 follow-up questions:

1. How can you express the remainder as a fraction in any division problem?
2. What does the term "remainder" signify in a division problem?
3. Can the remainder ever be equal to or greater than the divisor?
4. How would you handle a division problem if the remainder is zero?
5. Why is it useful to express division results in mixed number form?

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Tip: The remainder in any division must always be less than the divisor!