Solve the Division Problem: Calculate 354 ÷ 3

Long Division with Multi-Digit Numbers

354:3= 354:3=

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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 use the distributive law
00:07 Let's break down 354 into 300 plus 54
00:12 Let's break down 54 into 30 plus 24
00:22 Let's divide each factor separately
00:42 Let's solve each division and then sum
00:51 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

354:3= 354:3=

2

Step-by-step solution

In order to simplify the resolution process, we begin by breaking down the number 354 into a smaller addition exercise.

It is easier to choose round whole numbers, and also to consider numbers that are easily divisible by 3.

Hence the following calculation:

(300+54):3= (300+54):3=

Once again, for the purpose of facilitating the resolution process, we break down 54 into a smaller addition exercise.

Just as in the previous calculation we choose round numbers and numbers divisible by 3.

We obtain the following:

(300+30+24):3= (300+30+24):3=

We then divide each of the terms within the parentheses by 3:

300:3=100 300:3=100

30:3=10 30:3=10

24:3=8 24:3=8

We finish by adding up all the results we obtained:

100+10+8=110+8=118 100+10+8=110+8=118

3

Final Answer

118

Key Points to Remember

Essential concepts to master this topic
  • Rule: Divide step by step from left to right
  • Technique: Break 354 into parts: 300 + 30 + 24 = 100 + 10 + 8
  • Check: Multiply answer by divisor: 118 × 3 = 354 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to add partial results together
    Don't calculate 300 ÷ 3 = 100, then stop = incomplete answer! Students often find each part correctly but forget the final addition step. Always add all partial quotients: 100 + 10 + 8 = 118.

Practice Quiz

Test your knowledge with interactive questions

\( 140-70= \)

FAQ

Everything you need to know about this question

Why do we break 354 into smaller parts?

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Breaking large numbers into smaller, manageable chunks makes division easier! It's like eating a big sandwich - you take smaller bites instead of trying to eat it all at once.

How do I know which parts to break the number into?

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Choose numbers that are easy to divide by 3! Numbers like 300, 30, and 24 work great because they're multiples of 3. This makes the mental math much simpler.

What if I get a different breakdown like 350 + 4?

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That works too! 350÷3=11623 350 ÷ 3 = 116\frac{2}{3} and 4÷3=113 4 ÷ 3 = 1\frac{1}{3} . But using multiples of 3 like 300 + 54 keeps the math cleaner with whole number results.

How can I check my division without a calculator?

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Use multiplication to check division! Take your answer (118) and multiply by the divisor (3). If you get the original number (354), you're correct!

Is there a faster way than breaking numbers apart?

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Yes! You can use long division algorithm, but breaking apart helps you understand what's happening in each step. Both methods give the same answer!

What if my number doesn't divide evenly?

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You'll get a remainder! For example, 355 ÷ 3 = 118 remainder 1, which can also be written as 11813 118\frac{1}{3} .

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