$ 304 $ with a remainder of 2

$ 621 $ with a remainder of 1

$ 143 $ with a remainder of 1

Long Division Problem: Dividing 803 by 2 Step-by-Step

Q: What do I do when a digit doesn't divide evenly?

When 2 doesn't go into 3 evenly, it goes 1 time with remainder 1. Write 1 in the quotient and carry the remainder to the final answer.

Q: Why do I get 0 in the middle of my answer?

When you bring down 0 and divide by 2, you get 0. This placeholder zero is important! It keeps the place value correct in your final answer.

Q: How do I know when to stop dividing?

Stop when you've brought down all digits from the original number (803). Any remainder that's smaller than the divisor becomes your final remainder.

Q: Can I check my answer a different way?

Yes! Use multiplication: $ 401 \times 2 + 1 = 802 + 1 = 803 $. If this equals your original dividend, you're correct!

Q: What if I make a mistake in the middle?

No problem! Go back to where the error occurred and recalculate from that step. Long division builds on each step, so fixing one error fixes everything after it.

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 above

00:11 Now multiply the result by the divisor

00:14 Subtract the product from the number

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

00:21 Divide

00:24 Write the result above

00:27 Multiply the result and subtract

00:31 Now bring down the next digit and use the same steps

00:34 Divide

00:38 Write the result without remainder above

00:41 Multiply the result and subtract

00:45 We got a remainder of 1

00:48 And this is the solution to the problem

Step-by-step written solution

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Understand the problem

Step-by-step solution

To solve this problem, we'll divide 803 by 2 using long division, following detailed steps:

Step 1: Divide the first digit of the dividend (8) by the divisor (2). 2 fits into 8 exactly 4 times, so the first digit of the quotient is 4.
Step 2: Multiply the divisor (2) by this part of the quotient (4), resulting in 8. Subtract this product from 8, yielding a remainder of 0.
Step 3: Bring down the next digit of the dividend, which is 0 (from the number 80).
Step 4: Divide 0 by 2, which fits 0 times, adding another digit (0) to the quotient.
Step 5: Bring down the final digit of the dividend, which is 3.
Step 6: 2 fits into 3 a total of 1 time. This results in an additional 1 in the quotient.
Step 7: Subtract, and this product of 1 (remainder from step) gives us the remainder, 1.

The long division yields a quotient of 401 with a remainder of 1.

Therefore, the answer to the problem is $401$ with a remainder of 1.

Final Answer

$401$ with a remainder of 1

Key Points to Remember

Essential concepts to master this topic

Rule: Divide each digit from left to right systematically
Technique: 8÷2=4, bring down 0, then 0÷2=0, bring down 3
Check: Multiply quotient by divisor plus remainder: 401×2+1=803 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to bring down the next digit
Don't skip bringing down digits after each division step = incomplete quotient! This leaves parts of the dividend unprocessed and gives wrong answers. Always bring down the next digit before dividing again.

Practice Quiz

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FAQ

Everything you need to know about this question

What do I do when a digit doesn't divide evenly?

When 2 doesn't go into 3 evenly, it goes 1 time with remainder 1. Write 1 in the quotient and carry the remainder to the final answer.

Why do I get 0 in the middle of my answer?

When you bring down 0 and divide by 2, you get 0. This placeholder zero is important! It keeps the place value correct in your final answer.

How do I know when to stop dividing?

Stop when you've brought down all digits from the original number (803). Any remainder that's smaller than the divisor becomes your final remainder.

Can I check my answer a different way?

Yes! Use multiplication: $401 \times 2 + 1 = 802 + 1 = 803$ . If this equals your original dividend, you're correct!

What if I make a mistake in the middle?

No problem! Go back to where the error occurred and recalculate from that step. Long division builds on each step, so fixing one error fixes everything after it.

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