What is 112 Divided by 7? Answer is 16
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The answer to 112 divided by 7 is 16. This means if you divide 112 into 7 equal parts, each part will be 16. Division is the process of distributing a number equally, and in this example, both numbers divide perfectly without any remainder.
Let’s look at different methods to understand this calculation.
112/ 7 Using Long Division
To solve 112 ÷ 7 using the long division method:
- Write 112 under the division bar and 7 outside it.
- See how many times 7 can go into 11.
- 7 × 1 = 7 and 7 × 2 = 14 (too high), so use 1.
- Subtract 7 from 11, leaving 4.
- Bring down the next digit (2), making it 42.
- Now divide 42 by 7. Since 7 × 6 = 42, write down 6.
- Subtract 42 from 42, leaving 0 as the remainder.
The quotient is 16, so 112 ÷ 7 = 16.
Using the Distributive Property
You can also solve using the distributive property by breaking 112 into simpler parts:
Formula: [(a + b) ÷ c = (a ÷ c) + (b ÷ c)]
[112 ÷ 7 = (70 ÷ 7) + (42 ÷ 7)]Now divide each part:
[70 ÷ 7 = 10, 42 ÷ 7 = 6]Add them together:
[10 + 6 = 16]Thus, 112 ÷ 7 = 16, confirming our earlier result.
Other Divisions of 112
Let’s divide 112 by other numbers and see the results.
| 112 Divided By | Answer |
|---|---|
| 112 ÷ 2 | 56 |
| 112 ÷ 4 | 28 |
| 112 ÷ 7 | 16 |
| 112 ÷ 8 | 14 |
| 112 ÷ 14 | 8 |
| 112 ÷ 16 | 7 |
FAQs
What is the remainder when 112 is divided by 7?
There is no remainder. 112 divides evenly by 7, giving a clean result of 16.
Is 112 divisible by 7?
Yes. Since 7 × 16 = 112, it divides perfectly with no remainder.
How to check this division?
Multiply the quotient by the divisor: 16 × 7 = 112. This confirms that the answer is correct.
