$ 166 $ with a remainder of 8

$ 307 $ with a remainder of 5

$ 255 $ with a remainder of 6

Long Division Problem: Dividing 3540 by 17 Step-by-Step

Q: How do I know when to stop dividing?

Stop when you've brought down all digits from the dividend. If there's still a number left over that's smaller than the divisor, that's your remainder.

Q: What if my remainder is bigger than the divisor?

If your remainder is bigger than or equal to the divisor, you made an error! Go back and check - you can divide at least one more time.

Q: Can I check my answer without doing the whole division again?

Yes! Use the formula: quotient × divisor + remainder = original dividend. For this problem: $ 208 \times 17 + 4 = 3540 $

Q: Why do we bring down one digit at a time?

Bringing down one digit at a time keeps the division organized and prevents mistakes. It also helps you see exactly where each digit of the quotient comes from.

Long Division with Four-Digit Dividends

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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 start by dividing the leftmost digit in the dividend

00:06 3 is less than 17, so we'll include the next digit, and then divide

00:11 Write the result without the remainder above, paying attention to placement

00:14 Now multiply the result by the divisor

00:19 Subtract the product from the number

00:23 Now bring down the next digit and use the same steps

00:28 Divide

00:32 Write the result without the remainder above, paying attention to placement

00:36 Multiply the result and subtract

00:46 Now bring down the next digit and use the same steps

00:54 Divide

00:58 Write the result without the remainder above, paying attention to placement

01:03 Multiply the result and subtract

01:11 We got a remainder of 4

01:16 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Step-by-step solution

To solve the division problem of $3540 \div 17$ , follow these steps:

Step 1: Determine how many times 17 can fit into 35. It fits 2 times.
Step 2: Multiply 17 by 2 to get 34, and subtract this from 35 to get a remainder of 1.
Step 3: Bring down the next digit from 3540, which is 4, to make it 14.
Step 4: 17 does not fit into 14, so put 0 in the quotient.
Step 5: Bring down the next digit, which is 0, to make 140.
Step 6: Determine how many times 17 fits into 140. It fits 8 times.
Step 7: Multiply 17 by 8 to get 136, and subtract this from 140 to get a remainder of 4.

Adding together what we have collected in the quotient (2, 0, 8), we get 208 as the quotient.

Therefore, the quotient is $\textbf{208}$ and the remainder is $\textbf{4}$ .

The correct option from the choices is: $208$ with a remainder of 4.

Therefore, the solution to the problem is $208$ with a remainder of 4.

Final Answer

$208$ with a remainder of 4

Key Points to Remember

Essential concepts to master this topic

Setup: Divide from left to right, one digit at a time
Technique: When 17 doesn't fit into 14, write 0 and continue
Check: Multiply quotient by divisor and add remainder: 208 × 17 + 4 = 3540 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to write 0 when divisor doesn't fit
Don't skip writing 0 when 17 doesn't fit into 14 = quotient becomes 28 instead of 208! This misplaces all digits and gives a completely wrong answer. Always write 0 in the quotient and bring down the next digit.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I write 0 when 17 doesn't go into 14?

Writing 0 keeps each digit in its correct place value position. If you skip it, your quotient will be too small and in the wrong place values!

How do I know when to stop dividing?

Stop when you've brought down all digits from the dividend. If there's still a number left over that's smaller than the divisor, that's your remainder.

What if my remainder is bigger than the divisor?

If your remainder is bigger than or equal to the divisor, you made an error! Go back and check - you can divide at least one more time.

Can I check my answer without doing the whole division again?

Yes! Use the formula: quotient × divisor + remainder = original dividend. For this problem: $208 \times 17 + 4 = 3540$

Why do we bring down one digit at a time?

Bringing down one digit at a time keeps the division organized and prevents mistakes. It also helps you see exactly where each digit of the quotient comes from.

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