$ 131 $ with a remainder of 4

$ 198 $ with a remainder of 2

$ 144 $ with a remainder of 5

Long Division Problem: Divide 878 by 6 Step-by-Step

Q: What if the divisor doesn't go into the first digit?

Look at the first two digits together! For example, if dividing 278 by 6, since 6 doesn't go into 2, use 27 as your starting point.

Q: How do I know how many times the divisor fits?

Use your multiplication tables! Find the largest multiple of the divisor that doesn't exceed your current number. For 6 into 38: 6×6=36 (fits), but 6×7=42 (too big).

Q: What should I do with the remainder?

The remainder is part of your final answer! Write it as 'remainder 2' or as a fraction like $ 146\frac{2}{6} $.

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

Yes! Multiply your quotient by the divisor, then add the remainder. If you get the original dividend, you're correct!

Long Division with Three-Digit Numbers

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's solve this!

00:09 Start by dividing the first digit by the divisor.

00:13 Write the result on top, without any remainder.

00:19 Next, multiply that result by the divisor.

00:23 Now subtract the product from the first digit.

00:28 Bring down the next digit and repeat the steps.

00:32 Divide the number formed.

00:35 Enter the result above without the remainder.

00:40 Multiply it by the divisor and subtract.

00:47 Bring down the next digit, and start again.

00:53 Divide with the new number.

00:59 Write the result on top, without remainder.

01:05 Multiply and subtract again.

01:11 We have a remainder of two.

01:14 And that's 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 this problem, we need to perform long division on 878 by 6 to find the quotient and remainder.

First, examine how many times 6 fits into the digits of 878 from left to right.

Step 1: Determine how many times 6 fits into the first part of 878. 6 fits into 8 once. Below the 8, write 6, because $6 \times 1 = 6$ .
Subtract 6 from 8, which gives a remainder of 2. Bring down the next digit, 7, making the number 27.
Step 2: Determine how many times 6 fits into 27. 6 fits into 27 four times. Below the 27, write 24, because $6 \times 4 = 24$ .
Subtract 24 from 27, which gives a remainder of 3. Bring down the last digit, 8, making the number 38.
Step 3: Determine how many times 6 fits into 38. 6 fits into 38 six times. Below the 38, write 36, because $6 \times 6 = 36$ .
Subtract 36 from 38, which gives a final remainder of 2.

Thus, the quotient is 146 with a remainder of 2.

Therefore, the solution to the problem is $146$ with a remainder of 2.

Final Answer

$146$ with a remainder of 2

Key Points to Remember

Essential concepts to master this topic

Rule: Divide digits left to right, one position at a time
Technique: Multiply divisor by quotient digit: 6 × 4 = 24
Check: Multiply quotient by divisor plus remainder: (146 × 6) + 2 = 878 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to bring down the next digit
Don't leave a digit hanging without bringing it down to form the next dividend! This creates incomplete divisions and wrong quotient digits. Always bring down the next digit after each subtraction step to continue the division process.

Practice Quiz

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FAQ

Everything you need to know about this question

What if the divisor doesn't go into the first digit?

Look at the first two digits together! For example, if dividing 278 by 6, since 6 doesn't go into 2, use 27 as your starting point.

How do I know how many times the divisor fits?

Use your multiplication tables! Find the largest multiple of the divisor that doesn't exceed your current number. For 6 into 38: 6×6=36 (fits), but 6×7=42 (too big).

What should I do with the remainder?

The remainder is part of your final answer! Write it as 'remainder 2' or as a fraction like $146\frac{2}{6}$ .

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

Yes! Multiply your quotient by the divisor, then add the remainder. If you get the original dividend, you're correct!

What if I get zero when I subtract?

That's perfect! A remainder of zero means the divisor went in exactly. Just bring down the next digit and continue with the division process.

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