Long Division Problem: Dividing 171 by 9 Step-by-Step

Q: What if the first digit is smaller than the divisor?

Look at the first two digits together! In 171÷9, since 1

Q: How do I know how many times a number goes into another?

Use your multiplication tables! For 9 into 17: 9×1=9, 9×2=18. Since 18>17, we use 1 time with remainder 17-9=8.

Q: What happens if there's no remainder at the end?

Perfect! That means the division is exact - your dividend divides evenly. Like 171÷9=19 with remainder 0.

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

Yes! Simply multiply your quotient by the divisor. If you get the original dividend, you're correct: $ 19 \times 9 = 171 $ ✓

Q: What if I make an error in the middle steps?

No worries! Double-check each multiplication and subtraction as you go. If something doesn't look right, go back one step and recalculate.

Long Division with Three-Digit Numbers

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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

00:08 9 is greater than 1, so we'll bring down the next digit and then divide

00:12 Write the result without the remainder above, pay attention to the position

00:15 Now multiply the result by the divisor

00:18 Subtract the product from the number

00:22 Now bring down the next digit below and use the same steps

00:27 Divide

00:32 Write the result above

00:35 Multiply the result, subtract

00:41 We got a remainder of 0

00:45 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

We will use the long division method to solve for the quotient when dividing 171 by 9:

Step 1: Set up the division: Place 171 inside the division bracket, and 9 outside. We will divide 171 by 9.
Step 2: Divide the first digit: 9 goes into 17 once. Write 1 above the division line.
Step 3: Multiply and subtract: Multiply 1 by 9 to get 9. Subtract 9 from 17 to get a remainder of 8.
Step 4: Bring down the next digit: Bring down the next digit (1) from 171, resulting in 81.
Step 5: Divide the new number: 9 goes into 81 nine times. Write 9 next to the 1 above the division line.
Step 6: Multiply and subtract: Multiply 9 by 9 to get 81. Subtract 81 from 81, resulting in 0 as the final remainder.

The quotient of 171 divided by 9 is $\mathbf{19}$ .

Therefore, the solution to the problem is $19$ .

Final Answer

$19$

Key Points to Remember

Essential concepts to master this topic

Setup: Place divisor outside bracket, dividend inside division symbol
Technique: Work left to right: 9 goes into 17 once (1×9=9)
Check: Multiply quotient by divisor: 19×9 = 171 ✓

Common Mistakes

Avoid these frequent errors

Not bringing down digits properly
Don't forget to bring down the next digit after each subtraction = incomplete division! This leaves you with wrong partial quotients. Always bring down the next digit immediately after subtracting to form the new dividend.

Practice Quiz

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FAQ

Everything you need to know about this question

What if the first digit is smaller than the divisor?

Look at the first two digits together! In 171÷9, since 1<9, we use 17. Then ask: how many times does 9 go into 17?

How do I know how many times a number goes into another?

Use your multiplication tables! For 9 into 17: 9×1=9, 9×2=18. Since 18>17, we use 1 time with remainder 17-9=8.

What happens if there's no remainder at the end?

Perfect! That means the division is exact - your dividend divides evenly. Like 171÷9=19 with remainder 0.

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

Yes! Simply multiply your quotient by the divisor. If you get the original dividend, you're correct: $19 \times 9 = 171$ ✓

What if I make an error in the middle steps?

No worries! Double-check each multiplication and subtraction as you go. If something doesn't look right, go back one step and recalculate.

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