Let's divide 2,789 by 36 step by step.

### Step 1: Setup the long division
We're dividing 2,789 by 36.

1. **Divide the first two digits (27) by 36.**  
   36 does not go into 27, so we move to the next digit.

2. **Divide 278 by 36.**  
   Find how many times 36 goes into 278.  
   \( 278 \div 36 \approx 7 \) (since \( 36 \times 7 = 252 \)).

3. **Subtract the result from 278.**  
   \( 278 - 252 = 26 \).

### Step 2: Bring down the next digit
Now bring down the next digit (9 from 2,789), so we have 269.

4. **Divide 269 by 36.**  
   \( 269 \div 36 \approx 7 \) (since \( 36 \times 7 = 252 \)).

5. **Subtract the result from 269.**  
   \( 269 - 252 = 17 \).

### Step 3: The remainder
The division process stops because there are no more digits to bring down, and the remainder is 17.

### Final Answer:
\[
2,789 \div 36 = 77 \, \text{remainder} \, 17
\]

Or written as:
\[
2,789 \div 36 = 77 \frac{17}{36}
\]

Would you like more details on any step or further clarification?

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Here are 5 related questions to consider:
1. How can you express the remainder as a decimal?
2. What is the decimal approximation of \( 2,789 \div 36 \)?
3. How do you check if a remainder is correct in a division problem?
4. Can long division be applied to more complex numbers like decimals?
5. How can the quotient be written as a mixed number?

**Tip**: If the remainder is not zero, you can continue dividing by adding decimals to the quotient.

Learn how to divide 2,789 by 36 using long division with step-by-step work. This division problem covers finding the quotient, the remainder, and expressing the result as a mixed number. Suitable for students in Grades 5-7.

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