Topic Details

Level: Level 8: Multiplication & Division Mastery

Topic: Division with larger numbers

Description:

Division with larger numbers is similar to division with smaller numbers, but it involves more steps. When you divide larger numbers, you use a process called long division. This method involves dividing the larger number by smaller parts (usually starting with the largest place value) and then breaking the remainder down step by step.

To divide larger numbers:

Examples:

Example 1:
Divide 144 by 12:
Step 1: Divide the first part (14) by 12. 12 goes into 14 once, so write down 1.
Step 2: Multiply 1 by 12, which equals 12. Subtract 12 from 14, leaving a remainder of 2.
Step 3: Bring down the next digit (4), making the number 24.
Step 4: Divide 24 by 12. 12 goes into 24 exactly twice, so write down 2.
Final result: 144 ÷ 12 = 12.

Example 2:
Divide 567 by 23:
Step 1: Divide the first part (56) by 23. 23 goes into 56 twice, so write down 2.
Step 2: Multiply 2 by 23, which equals 46. Subtract 46 from 56, leaving a remainder of 10.
Step 3: Bring down the next digit (7), making the number 107.
Step 4: Divide 107 by 23. 23 goes into 107 four times, so write down 4.
Final result: 567 ÷ 23 = 24 with a remainder of 15.

Long division can seem tricky at first, but with practice, you'll be able to divide large numbers easily. It's a powerful tool that helps you solve real-world math problems!

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