Dividing by two numbers is typically achieved through a process of sequential division, which is often more understandable and manageable. Here's how to approach it, and the answer focuses on the concept of dividing by a number with two digits.
Understanding Sequential Division
When you need to divide by a two-digit number, you're essentially figuring out how many times that two-digit number fits into another number. The reference video, Math Antics - Long Division with 2-Digit Divisors, demonstrates a clear, step-by-step method for this using long division.
Steps to Divide by a Two-Digit Number (Long Division)
The long division method is the most common way to deal with dividing by two-digit numbers, as described in the reference video:
- Set Up the Problem: Place the number you're dividing (the dividend) inside the division symbol and the two-digit number you're dividing by (the divisor) outside.
- Estimate: Look at the first one or two digits of the dividend. Estimate how many times the divisor goes into these digits. If the divisor is larger than the initial portion of the dividend, you'll need to look at more digits of the dividend.
- Multiply: Multiply your estimate by the divisor, placing the result under the appropriate digits of the dividend.
- Subtract: Subtract the result of the multiplication from the portion of the dividend above it.
- Bring Down: Bring down the next digit of the dividend to form a new number.
- Repeat: Repeat steps 2 through 5 until all digits of the dividend have been brought down and there are no remaining digits.
- Remainder (If applicable): If at the end of this process you have a number left that's smaller than your divisor, that's the remainder.
Example of Long Division (From reference)
The reference video provides this helpful example to illustrate the concept, where long division by a two-digit divisor is done step by step:
- The problem is broken down into smaller division steps, one for each digit in the quotient.
- A step-by-step approach is used, making it easier to follow the calculations.
Practical Insights
- Estimation is Key: Being good at estimation can make division easier and faster.
- Practice is Essential: Like any math skill, long division with two-digit divisors becomes easier with practice.
- Step-by-Step Approach: Focus on one step at a time and keep your work neat.
- Understanding Place Value: Knowing place value helps greatly when you're subtracting and bringing down digits.
Summary
Dividing by two numbers, especially when the divisor is a two-digit number, usually involves long division and following the established steps. The reference video supports this approach by breaking down the process and providing clear instructions. The key is to estimate and to practice.
