Divide 652.4 by 4: Step-by-Step Decimal Division

Long Division with Decimal Numbers

4652.4

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's try to divide one digit, if not possible we'll add the next one
00:14 We'll check the remainder, and continue this way until we get the quotient
01:18 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

4652.4

3

Final Answer

163.1

Key Points to Remember

Essential concepts to master this topic
  • Rule: Divide whole numbers first, then handle decimal places
  • Technique: 652 ÷ 4 = 163, then 0.4 ÷ 4 = 0.1
  • Check: Multiply answer by divisor: 163.1 × 4 = 652.4 ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring the decimal point placement
    Don't divide 6524 by 4 to get 1631! This ignores the decimal point and makes your answer 10 times too big. Always keep the decimal point in the correct position throughout the division.

Practice Quiz

Test your knowledge with interactive questions

\( 0.121:0.1= \)

FAQ

Everything you need to know about this question

Why can't I just ignore the decimal point?

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The decimal point shows the place value of each digit. Ignoring it changes 652.4 into 6,524, which is completely different! Always keep track of where the decimal belongs.

How do I know where to put the decimal in my answer?

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The decimal point in your answer goes directly above the decimal point in the dividend (the number being divided). Line them up vertically!

What if I get confused with the steps?

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Break it down: First divide 652 by 4 = 163, then divide 0.4 by 4 = 0.1. Add them together: 163 + 0.1 = 163.1

Can I check my work another way?

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Yes! Use multiplication to check: 163.1 × 4 should equal 652.4. If it doesn't match exactly, you made an error somewhere.

What if the decimal doesn't divide evenly?

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Sometimes you'll get repeating decimals or need to round. For this problem, 652.4 ÷ 4 works out perfectly to 163.1 with no remainder!

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