Divide the first part of the dividend

Oct 13, 2025 by thesweetdesigns.com 16 views

**Use the Partial Quotient Strategy to Solve: $3 \longdiv {74}$**

What is the Partial Quotient Strategy?

The partial quotient strategy is a method used to solve division problems by breaking down the dividend into smaller parts and finding the quotient for each part. This strategy is particularly useful for solving division problems with large dividends and small divisors.

How to Use the Partial Quotient Strategy

To use the partial quotient strategy, follow these steps:

Divide the first part of the dividend: Divide the first part of the dividend by the divisor to find the first quotient.
Multiply the quotient by the divisor: Multiply the first quotient by the divisor to find the first product.
Subtract the product from the dividend: Subtract the first product from the dividend to find the remainder.
Repeat steps 1-3: Repeat steps 1-3 with the remainder until the remainder is less than the divisor.
Write the final quotient: Write the final quotient by adding up all the quotients found in each step.

Solving $3 \longdiv {74}$ Using the Partial Quotient Strategy

To solve $3 \longdiv {74}$ using the partial quotient strategy, follow these steps:

Step 1: Divide the first part of the dividend

Divide 70 by 3 to find the first quotient.

70 ÷ 3 = 23

Step 2: Multiply the quotient by the divisor

Multiply 23 by 3 to find the first product.

23 × 3 = 69

Step 3: Subtract the product from the dividend

Subtract 69 from 74 to find the remainder.

74 - 69 = 5

Step 4: Repeat steps 1-3

Divide 5 by 3 to find the second quotient.

5 ÷ 3 = 1

Multiply 1 by 3 to find the second product.

1 × 3 = 3

Subtract 3 from 5 to find the remainder.

5 - 3 = 2

Step 5: Write the final quotient

Add up all the quotients found in each step to find the final quotient.

23 + 1 = 24

Therefore, the final quotient is 24.

Q&A

Q: What is the partial quotient strategy?

A: The partial quotient strategy is a method used to solve division problems by breaking down the dividend into smaller parts and finding the quotient for each part.

Q: How do I use the partial quotient strategy?

A: To use the partial quotient strategy, divide the first part of the dividend by the divisor to find the first quotient, multiply the quotient by the divisor to find the first product, subtract the product from the dividend to find the remainder, and repeat steps 1-3 until the remainder is less than the divisor.

Q: Can I use the partial quotient strategy to solve any division problem?

A: Yes, you can use the partial quotient strategy to solve any division problem, but it is particularly useful for solving division problems with large dividends and small divisors.

Q: What is the final quotient in the problem $3 \longdiv {74}$ ?

A: The final quotient in the problem $3 \longdiv {74}$ is 24.

Q: How do I find the remainder in the partial quotient strategy?

A: To find the remainder in the partial quotient strategy, subtract the product from the dividend.

Q: Can I use the partial quotient strategy to solve division problems with decimals?

A: Yes, you can use the partial quotient strategy to solve division problems with decimals, but you will need to follow the same steps as you would for whole numbers.

Q: What is the advantage of using the partial quotient strategy?

A: The advantage of using the partial quotient strategy is that it allows you to break down the dividend into smaller parts and find the quotient for each part, making it easier to solve division problems with large dividends and small divisors.