Division with two-digit answers
Division with two-digit answers is taught in Grade 4 Saxon Math Intermediate 4 (Chapter 7) using the four-step DMSB cycle: Divide, Multiply, Subtract, Bring Down. For 96 / 4: 9/4=2, 2x4=8, 9-8=1, bring down 6 to get 16, 16/4=4. Answer: 24. For 75 / 5: 7/5=1, 1x5=5, 7-5=2, bring down 5 to get 25, 25/5=5. Answer: 15. The most common error is subtraction mistakes that corrupt every subsequent step.
Key Concepts
Property To divide a two digit number, we use a step by step process. First, divide the tens digit. Then, multiply, subtract, and bring down the ones digit. Finally, divide the new number. The process is based on the formula: Number of groups $\times$ Number in each group = Total.
To solve $4 \overline{)96}$: First, $9 \div 4$ is 2. Multiply $2 \times 4 = 8$. Subtract $9 8 = 1$. Bring down the 6 to make 16. Then $16 \div 4 = 4$. The answer is 24. To solve $3 \overline{)84}$: First, $8 \div 3$ is 2. Multiply $2 \times 3 = 6$. Subtract $8 6 = 2$. Bring down the 4 to make 24. Then $24 \div 3 = 8$. The answer is 28.
Think of long division as a dance with four simple steps: Divide, Multiply, Subtract, and Bring Down! You repeat this rhythm until the problem is solved. This process breaks a huge division problem into tiny, manageable chunks. It’s a super organized way to make sure you handle every digit correctly, from the tens down to the ones place.
Common Questions
What are the four steps of long division?
Divide, Multiply, Subtract, Bring Down — abbreviated DMSB. Repeat this cycle for each digit of the dividend until no more digits remain.
How do you divide 96 by 4?
Divide: 9/4=2. Multiply: 2x4=8. Subtract: 9-8=1. Bring down 6 to make 16. Divide: 16/4=4. Answer: 24.
How do you divide 84 by 3?
Divide: 8/3=2. Multiply: 2x3=6. Subtract: 8-6=2. Bring down 4 to make 24. Divide: 24/3=8. Answer: 28.
A bakery made 75 muffins, boxed in 5 per box. How many boxes?
75 / 5: 7/5=1, 1x5=5, 7-5=2, bring down 5 to get 25, 25/5=5. Answer: 15 boxes.
What is the most important step to double-check in long division?
The subtraction step. If the subtraction is wrong, every step after it will be wrong too. Always double-check your subtraction before bringing down the next digit.