$ 312 $ with a remainder of 1

$ 625 $ with a remainder of 2

$ 813 $ with a remainder of 1

Long Division Problem: Breaking Down 2831 Step by Step

Q: Why do I start dividing from the leftmost digit?

In long division, we work from left to right because we're finding the largest place value first. Starting with 8 (hundreds place) gives us 4 in the hundreds place of our answer.

Q: What do I do when the divisor doesn't go into a digit evenly?

That's when you get a remainder! Like when 3 ÷ 2 = 1 remainder 1. Write down the 1 as your quotient digit, then bring down the next digit to combine with your remainder.

Q: How do I know if I can bring down the next digit?

You always bring down the next digit after completing each division step. In 831 ÷ 2, after dividing 8, bring down the 3. After dividing 3, bring down the 1.

Q: What if there's still a remainder at the very end?

That's your final remainder! Write it as 'remainder [number]' like we got 415 remainder 1. This means 831 doesn't divide evenly by 2.

Q: How can I check if my long division is correct?

Use this formula: quotient × divisor + remainder = original number. For our problem: 415 × 2 + 1 = 830 + 1 = 831 ✓

Long Division with Three-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

00:07 Write the result without remainder above

00:10 Now multiply the result by the divisor

00:13 Subtract the product from the number

00:17 Now bring down the next digit below and use the same steps

00:21 Divide

00:24 Write the result without remainder above, pay attention to the position

00:27 Multiply the result, and subtract

00:35 Now bring down the next digit below and use the same steps

00:38 Divide

00:41 Write the result without remainder above, pay attention to the position

00:45 Multiply the result, and subtract

00:50 We got a remainder of 1

00:55 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 this arithmetic problem using long division, we will divide 831 by 2.

Let's perform the steps:

Set up 831 divided by 2.
Look at the first digit of 831: 8. Divide 8 by 2, which equals 4. Write 4 as the first digit of the quotient.
Multiply 4 by 2 to get 8. Subtract 8 from 8 to get 0. Bring down the next digit, which is 3.
Now divide 3 by 2. 2 fits into 3 one time. Write 1 as the next digit of the quotient.
Multiply 1 by 2, yield 2. Subtract 2 from 3 to get a remainder of 1. Bring down the next digit, 1, to make 11.
Next, divide 11 by 2. 2 fits into 11 five times. Write 5 as the next digit of the quotient.
Multiply 5 by 2, giving 10. Subtract 10 from 11 to get a remainder of 1.

The quotient is 415 and the remainder is 1.

Therefore, the solution to the problem is $415$ with a remainder of 1.

Final Answer

$415$ with a remainder of 1

Key Points to Remember

Essential concepts to master this topic

Process: Divide digit by digit from left to right
Technique: When 3 ÷ 2 = 1 remainder 1, bring down next digit
Check: Multiply quotient by divisor plus remainder: 415 × 2 + 1 = 831 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to bring down the remainder with the next digit
Don't leave the remainder hanging after each division step = wrong calculations! When you get remainder 1 from 3 ÷ 2, you must combine it with the next digit (1) to make 11. Always carry the remainder forward to form the next number to divide.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I start dividing from the leftmost digit?

In long division, we work from left to right because we're finding the largest place value first. Starting with 8 (hundreds place) gives us 4 in the hundreds place of our answer.

What do I do when the divisor doesn't go into a digit evenly?

That's when you get a remainder! Like when 3 ÷ 2 = 1 remainder 1. Write down the 1 as your quotient digit, then bring down the next digit to combine with your remainder.

How do I know if I can bring down the next digit?

You always bring down the next digit after completing each division step. In 831 ÷ 2, after dividing 8, bring down the 3. After dividing 3, bring down the 1.

What if there's still a remainder at the very end?

That's your final remainder! Write it as 'remainder [number]' like we got 415 remainder 1. This means 831 doesn't divide evenly by 2.

How can I check if my long division is correct?

Use this formula: quotient × divisor + remainder = original number. For our problem: 415 × 2 + 1 = 830 + 1 = 831 ✓

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