Solve Division Problem: 13 ÷ 845 Using Standard Algorithm

Q: Why can't I divide 8 by 13 at the start?

Since 8 is smaller than 13, division isn't possible. You need to look at the next digit to make 84, which is larger than 13 and can be divided.

Q: How do I know how many times 13 goes into 84?

Think of multiplication facts: 13 × 6 = 78 and 13 × 7 = 91. Since 84 is between these, 13 goes into 84 exactly 6 times with remainder 6.

Q: What if I get the multiplication wrong?

No problem! If your multiplication gives a number larger than what you're dividing, try a smaller digit. If it's too small, try a larger digit.

Q: How do I bring down the next digit correctly?

Write the next digit right next to your remainder. So remainder 6 plus digit 5 becomes 65, which you then divide by 13.

Q: What does it mean when the remainder is 0?

A remainder of 0 means the division is exact - no leftover! This confirms that $ 845 ÷ 13 = 65 $ perfectly.

Long Division with Three-Digit Numbers

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Step-by-step video solution

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00:04 Okay, let's solve a division problem!

00:07 First, look at the leftmost digit of the number we're dividing.

00:12 Since 8 is smaller than 13, we need to bring down the next digit and then divide.

00:21 Write the result just above, making sure it's in the right spot.

00:25 Now, multiply this result by the divisor to see what we get.

00:30 Next, subtract that product from the current number.

00:35 Bring down the next digit, and repeat the steps.

00:38 Divide again and keep going.

00:42 Remember to place the results correctly above.

00:45 Multiply the last result and subtract.

00:51 We have no remainder, so we've solved it completely!

00:56 Great job! That's how we find the solution to this problem.

Step-by-step written solution

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Understand the problem

Step-by-step solution

To solve this problem, we'll follow these steps to perform long division:

Step 1: Divide 8 by 13. Thirteen goes into 8 zero times, so check next digit to make 84.
Step 2: Divide 84 by 13. Thirteen fits into 84 six times (since $13 \times 6 = 78$ ).
Step 3: Subtract the result from 84, giving $84 - 78 = 6$ .
Step 4: Bring down the next digit of 845, which is 5, making it 65.
Step 5: Divide 65 by 13. Thirteen fits into 65 five times (since $13 \times 5 = 65$ ).
Step 6: Subtract the result from 65, giving $65 - 65 = 0$ .

The division ends here with no remainder, meaning our quotient is complete.

Therefore, the quotient of 845 divided by 13 is $65$ .

Final Answer

$65$

Key Points to Remember

Essential concepts to master this topic

Setup: Position divisor outside and dividend inside the division symbol
Technique: Work left to right: 84 ÷ 13 = 6, then 65 ÷ 13 = 5
Check: Multiply quotient by divisor: 65 × 13 = 845 ✓

Common Mistakes

Avoid these frequent errors

Starting division with single digits when they're too small
Don't try to divide 8 by 13 first = impossible division! This creates confusion and wrong positioning. Always group digits until you have a number larger than the divisor before starting.

Practice Quiz

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FAQ

Everything you need to know about this question

Why can't I divide 8 by 13 at the start?

Since 8 is smaller than 13, division isn't possible. You need to look at the next digit to make 84, which is larger than 13 and can be divided.

How do I know how many times 13 goes into 84?

Think of multiplication facts: 13 × 6 = 78 and 13 × 7 = 91. Since 84 is between these, 13 goes into 84 exactly 6 times with remainder 6.

What if I get the multiplication wrong?

No problem! If your multiplication gives a number larger than what you're dividing, try a smaller digit. If it's too small, try a larger digit.

How do I bring down the next digit correctly?

Write the next digit right next to your remainder. So remainder 6 plus digit 5 becomes 65, which you then divide by 13.

What does it mean when the remainder is 0?

A remainder of 0 means the division is exact - no leftover! This confirms that $845 ÷ 13 = 65$ perfectly.

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