The four steps of division
The four steps of long division—Divide, Multiply, Subtract, Bring Down—form a repeating cycle applied to each digit of the dividend. In Grade 4 math from Saxon Math Intermediate 4 Chapter 8, students practice with problems like 3)912: divide 9 by 3 = 3, multiply 3 × 3 = 9, subtract 9 − 9 = 0, bring down 1; since 3 does not go into 1, write 0 and bring down 2 to get 12; 12 ÷ 3 = 4; final answer 304. Mastery of this cycle enables all multi-digit division in later grades.
Key Concepts
The pencil and paper method for dividing numbers has four steps: Step 1: Divide. Step 2: Multiply. Step 3: Subtract. Step 4: Bring down. Think of these steps as a repeatable dance routine. For every digit you bring down from the dividend, you must perform this entire four step sequence until you have no numbers left to bring down.
Example 1: Solve $5 \overline{)525}$. First, divide 5 by 5 to get 1. Then bring down the 2. Since 5 doesn't go into 2, put a 0 in the quotient. Bring down the 5 to make 25. Divide 25 by 5 to get 5. The answer is $105$. Example 2: Solve $3 \overline{)912}$. Divide 9 by 3 to get 3. Bring down the 1. Since 3 cannot go into 1, place a 0 in the quotient. Bring down the 2 to make 12. Divide 12 by 3 to get 4. The final answer is $304$.
Mastering division is all about remembering this simple four step loop: Divide, Multiply, Subtract, Bring Down. It's a cycle you'll repeat for each digit in your number, making even big division problems manageable and straightforward. Just keep the rhythm going!
Common Questions
What are the four steps of long division?
Divide, Multiply, Subtract, Bring Down. Repeat this cycle for each digit you bring down from the dividend.
What do you do when the divisor cannot go into the current number?
Write 0 in the quotient for that position and bring down the next digit to form a larger number. For 3)912: 3 does not divide into 1, so write 0 and bring down 2 to get 12.
When do Grade 4 students learn the long division procedure?
The four-step long division cycle is reinforced in Chapter 8 of Saxon Math Intermediate 4, extending the introduction from Chapter 7.
How do you check a long division answer?
Multiply the quotient by the divisor, then add any remainder. The result should equal the original dividend. For 304 × 3 = 912.
What is the most common mistake in long division?
Forgetting to write a 0 in the quotient when the divisor cannot go into a digit. Skipping this step shifts all subsequent digits in the answer.
How does long division relate to fractions?
Division by long division and fractions are equivalent: 912 ÷ 3 can be written as 912/3 = 304. Multi-digit long division is the mechanical method for evaluating fraction-as-division expressions.