Question

Divide: 1,205 ÷ 3
How many groups? 3
Write the dividend in expanded form.
1205 ÷ _
(1,000 + 200 + 5) ÷ 3
Regroup the thousand block into _ hundreds.
Our quotient is the size of the groups. Each group contains _ hundred blocks and 1 ones block, with a remainder of 2.
The quotient is _ R 2.
check.

401
x 3
------
1,203 + 2 = _

Answer 1

Let’s go through the division step-by-step.

1. **Written Problem**:
- We need to divide: **1,205 ÷ 3**

2. **How many groups?**:
- There are **3** groups.

3. **Write the dividend in expanded form**:
- The dividend can be expressed as:
\[
1,205 = 1,000 + 200 + 5.
\]
So we can write the division as:
\[
1,205 ÷ 3 = (1,000 + 200 + 5) ÷ 3.
\]

4. **Regroup the thousand block**:
- We can regroup the **1,000** into **10 hundreds**. Hence, we have:
\[
(10,00 + 200 + 5) ÷ 3 = (10 + 2) hundreds + 5 ÷ 3 = 12 hundreds + 5.
\]

5. **Finding the size of the groups**:
- Now we can divide each part by **3**:
- **1,000** becomes **10 hundreds**:
\[
10 ÷ 3 = 3 \text{ (each group gets 3 hundreds)}
\]
- Remainder = 1 hundred
- **200** becomes:
\[
2 ÷ 3 = 0 \text{ (each group gets 0 hundreds)}
\]
- **5** becomes:
\[
5 ÷ 3 = 1 \text{ (each group gets 1 ones)}
\]
- Remainder = 2 (because 5 - 3 = 2)

Now putting this together:
- Each group contains **4 hundred blocks** (3 hundreds from the thousands and 0 from the two hundreds) and **1 ones block**, with a remainder of 2.

The quotient is:
\[
\text{Quotient} = 401\text{ R }2.
\]

6. **Check the calculation**:
- To check our work:
\[
401 \times 3 = 1,203
\]
- Then add the remainder:
\[
1,203 + 2 = 1,205.
\]

So the final result is:
\[
\text{Quotient is } 401 \text{ R } 2.
\]
This confirms our division is correct.