Diving Deep with Division: How to Handle Four-digit Numbers with Two-digit Divisors

Dividing Four-digit Numbers by Two-digit Numbers

Example 1:

Divide \(5,632\) by \(16\).

Solution Process:

Using long division, place \(5,632\) inside the division bracket and \(16\) outside. Divide each part step by step.

Answer:

The quotient is \(352\).

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Example 2:

Divide \(8,424\) by \(44\).

Solution Process:

Using long division, place \(8,424\) inside the division bracket and \(44\) outside. Divide each part systematically.

Answer:

The quotient is \(191\).

Dividing four-digit numbers by two-digit numbers can initially seem challenging due to the size of the numbers involved. However, by breaking down the division process step by step and using tools like long division, you can find the quotient efficiently. Remember to always check your work and ensure that the remainder, if any, is less than the divisor. With practice and patience, you’ll become proficient at dividing even the largest numbers with ease!

Practice Questions:

1. Divide \(6,480\) by \(18\).

2. What is \(9,204\) divided by \(23\)?

3. Divide \(7,315\) by \(35\).

4. What is the result of \(4,872\) divided by \(56\)?

5. Divide \(5,555\) by \(37\).

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Answers:

1. \(360\)

2. \(400\)

3. \(209\)

4. \(87\)

5. \(150\) with a remainder of \(5\)

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