Calculate Area with Perpendicular Lines: 15 and 1140 Units Problem

Q: Why can't I divide 15 into 11?

Because 15 is larger than 11! When the divisor is bigger than the partial dividend, you need to include more digits. That's why we use 114 instead of just 11.

Q: How do I know which multiple of 15 to use?

Find the largest multiple that doesn't exceed your partial dividend. For 114: 15 × 7 = 105 (good), but 15 × 8 = 120 (too big), so use 7.

Q: What if I get a remainder at the end?

In this problem, we get no remainder because 1140 ÷ 15 divides evenly. If you do get a remainder, write it as part of your answer or continue for a decimal.

Q: How can I check my division is correct?

Multiply your quotient by the divisor: 76 × 15 should equal 1140. If it matches the original dividend, your division is correct!

Q: Why do I bring down the 0?

After subtracting 105 from 114, you get 9. You must bring down the next digit (0) to continue dividing, making 90 as your new partial dividend.

Long Division with Three-Digit Quotients

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Step-by-step video solution

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00:00 Solve

00:03 Let's start by dividing the leftmost digit in the dividend

00:07 1 is less than 15, so we'll add the next digit, and then divide

00:10 11 is also less than 15, so we'll add the next digit, and then divide

00:17 Write the result without the remainder above, paying attention to the position

00:26 Now multiply the result by the divisor

00:29 Subtract the product from the number

00:36 Now bring down the next digit and use the same steps

00:40 Divide

00:43 Write the result without the remainder above, paying attention to the position

00:46 Multiply the result and subtract

00:54 We got a remainder of 0

00:57 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 division problem of dividing 1140 by 15, we perform the following steps:

Step 1: Set up the division with 1140 under the division bracket and 15 outside.
Step 2: Determine how many times 15 fits into the first two digits of the dividend, 11. Since it doesn't fit, consider the first three digits, 114.
Step 3: Calculate $15 \times 7 = 105$ , which is the nearest lower product to 114. Write 7 above the division bar.
Step 4: Subtract 105 from 114, leaving 9. Bring down the next digit of the dividend, 0, making it 90.
Step 5: Determine how many times 15 fits into 90. $15 \times 6 = 90$ . Write 6 above the division bar.
Step 6: Subtract the 90 from 90, resulting in a remainder of 0.

The quotient from the division of 1140 by 15 is $76$ . None remains, confirming complete division.

Therefore, the solution to the problem is $76$ .

Final Answer

$76$

Key Points to Remember

Essential concepts to master this topic

Setup: Place 1140 under division bracket, 15 outside as divisor
Technique: Work left to right: 15 × 7 = 105, then 15 × 6 = 90
Check: Multiply quotient by divisor: 76 × 15 = 1140 ✓

Common Mistakes

Avoid these frequent errors

Starting division with wrong digit placement
Don't try to divide 15 into just 1 or 11 = wrong quotient position! The first digit 1 is too small, and 11 is also too small for 15. Always start with enough digits so the divisor fits at least once (114 ÷ 15 = 7).

Practice Quiz

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FAQ

Everything you need to know about this question

Why can't I divide 15 into 11?

Because 15 is larger than 11! When the divisor is bigger than the partial dividend, you need to include more digits. That's why we use 114 instead of just 11.

How do I know which multiple of 15 to use?

Find the largest multiple that doesn't exceed your partial dividend. For 114: 15 × 7 = 105 (good), but 15 × 8 = 120 (too big), so use 7.

What if I get a remainder at the end?

In this problem, we get no remainder because 1140 ÷ 15 divides evenly. If you do get a remainder, write it as part of your answer or continue for a decimal.

How can I check my division is correct?

Multiply your quotient by the divisor: 76 × 15 should equal 1140. If it matches the original dividend, your division is correct!

Why do I bring down the 0?

After subtracting 105 from 114, you get 9. You must bring down the next digit (0) to continue dividing, making 90 as your new partial dividend.

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