Find the estimated quotient for each of the following : `858 ÷ 39`

Answer

To find the estimated quotient of \( 858 \div 39 \), we will round both numbers to make the division easier. Here’s a step-by-step solution:

### Step 1: Round 858 to the nearest hundred
- The number 858 is a three-digit number. We look at the tens place, which is 5.
- Since 5 is equal to or greater than 5, we round up.
- Therefore, we round 858 to 900.

### Step 2: Round 39 to the nearest ten
- The number 39 is a two-digit number. We look at the ones place, which is 9.
- Since 9 is greater than 5, we round up.
- Therefore, we round 39 to 40.

### Step 3: Set up the estimated division
- Now we can replace the original numbers with their rounded values:
\[ 900 \div 40 \]

### Step 4: Simplify the division
- We can simplify this division by canceling out the zeros:
\[ \frac{900}{40} = \frac{90}{4} \]

### Step 5: Perform the division
- Now we divide 90 by 4:
- 4 goes into 9 two times (2 x 4 = 8), leaving a remainder of 1.
- Bring down the 0, making it 10.
- 4 goes into 10 two times (2 x 4 = 8), leaving a remainder of 2.
- Bring down another 0, making it 20.
- 4 goes into 20 five times (5 x 4 = 20), leaving no remainder.

Thus, \( 90 \div 4 = 22.5 \).

### Step 6: Round the quotient
- Since we need the estimated quotient, we round 22.5 to the nearest whole number, which is 23.

### Final Answer
The estimated quotient of \( 858 \div 39 \) is **23**.

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