https://file.aiquickdraw.com/mathbot/file/1729801254688tqxrlgae.jpg

The problem in the image is asking to divide 753 by 45. Let's go through this step-by-step using long division.

1. **Start with the division:**  
   The divisor is 45, and the dividend is 753.

2. **Divide the first digits:**  
   First, see how many times 45 goes into the first part of the number, which is 75.  
   45 goes into 75 **once** (1).

3. **Multiply and subtract:**  
   Multiply 1 by 45 to get 45.  
   Subtract 45 from 75, which leaves 30.

4. **Bring down the next digit:**  
   Bring down the next digit of 753, which is 3. Now you have 303.

5. **Divide again:**  
   Now, divide 303 by 45.  
   45 goes into 303 **6 times** (6).

6. **Multiply and subtract again:**  
   Multiply 6 by 45 to get 270.  
   Subtract 270 from 303, which leaves 33.

7. **Remainder:**  
   Since there are no more digits to bring down, the remainder is 33.

Therefore, \( 753 \div 45 = 16 \) with a remainder of 33.

Would you like any further details or explanation?

Here are 5 related questions to expand on this concept:
1. How would you check if your division result is correct?
2. What is the decimal result of dividing 753 by 45?
3. Can you express the remainder as a fraction of the divisor?
4. How would this division problem change if the divisor were 40 instead of 45?
5. How can long division be applied to solve problems with larger numbers?

**Tip:** To confirm your division result, multiply the quotient by the divisor and add the remainder. It should equal the original dividend.

This page provides a step-by-step solution for solving the division of 753 ÷ 45 using long division. The problem includes a quotient of 16 and a remainder of 33, suitable for students in grades 4-6.

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