What Is 112 Divided by 14? Answer is 8
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The answer to 112 divided by 14 is 8. This means that if you divide 112 into 14 equal groups, each group will contain exactly 8. Division helps us split numbers into equal parts, and in this case, 112 divides perfectly by 14 with no remainder.
Let’s break down this division to understand it clearly.
112 Divided by 14 Using Long Division
Here’s how to solve 112 ÷ 14 using the long division method:
- Set up the division: Write 112 under the division bar and place 14 outside of it.
- Start with the first digits (11): 14 does not go into 11, so we look at the first two digits together (112).
- How many times does 14 go into 112?
14 × 8 = 112 - Subtract 112 from 112:
112 − 112 = 0 - Since there is no remainder and no more digits to bring down, the division is complete.
✅ Final Answer: 112 ÷ 14 = 8
There is no remainder, because 112 is evenly divisible by 14.
Using the Distributive Property
We can also solve this using the distributive property, which says:
(a+b)÷c=(a÷c)+(b÷c)
Let’s break 112 into two easier parts: 70 and 42.
112÷14=(70÷14)+(42÷14)
Now divide each part separately:
70 ÷ 14 = 5
42 ÷ 14 = 3
Add them together:
5+3=8
This confirms the same answer as the long division method.
Other Divisions of 112
Here are some useful related divisions:
| Division | Answer |
|---|---|
| 112 ÷ 2 | 56 |
| 112 ÷ 4 | 28 |
| 112 ÷ 7 | 16 |
| 112 ÷ 8 | 14 |
| 112 ÷ 14 | 8 |
| 112 ÷ 16 | 7 |
| 112 ÷ 28 | 4 |
| 112 ÷ 56 | 2 |
| 112 ÷ 112 | 1 |
FAQs
What is the remainder when 112 is divided by 14?
There is no remainder. 14 goes into 112 exactly 8 times.
Is 112 divisible by 14?
Yes. Since 112 divided by 14 results in a whole number, it is divisible by 14.
How can you check this division?
Multiply the quotient by the divisor:
8×14=112
This confirms the answer is correct.
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