What is 90 Divided by 5? (Answer, Long Division, & More)

90 divided by 5 is 18.

Table of Contents

Quick Calculation Methods

Here’s a breakdown of how to arrive at the answer using different methods:

Mental Math

Think of it this way: How many times does 5 go into 9? Once, with a remainder of 4. That remainder of 4 combines with the 0 to make 40. Now, how many times does 5 go into 40? Eight times. Combining the 1 and the 8 gives you 18.

Calculator

Simply input 90 ÷ 5 into a calculator, and you’ll get the answer: 18.

Understanding Long Division

Long division provides a systematic approach, particularly useful for larger numbers. Here’s how to divide 90 by 5 using long division:

Set Up: Place the dividend (90) inside the division bracket and the divisor (5) outside.
___ 5 | 90
Divide the Tens: 5 goes into 9 once (1). Write the 1 above the 9.
1__ 5 | 90
Multiply: 1 x 5 = 5. Write the 5 below the 9.
1__ 5 | 90 5
Subtract: 9 – 5 = 4.
1__ 5 | 90 5 -- 4
Bring Down: Bring down the 0 next to the 4, making it 40.
1__ 5 | 90 5 -- 40
Divide Again: 5 goes into 40 eight times (8). Write the 8 above the 0.
18_ 5 | 90 5 -- 40
Multiply: 8 x 5 = 40.
18_ 5 | 90 5 -- 40 40
Subtract: 40 – 40 = 0. No remainder.
18 5 | 90 5 -- 40 40 -- 0

Practical Applications

Dividing 90 by 5 isn’t just an abstract concept. Here are examples of how it’s used in the real world:

Sharing: Distributing 90 candies equally among 5 friends.
Splitting Costs: Dividing a $90 bill equally between 5 people.
Recipe Adjustments: Scaling down a recipe that calls for 90 units of an ingredient to one-fifth the size.

Connecting to Fractions

90 divided by 5 is equivalent to the fraction 90/5. Simplifying this fraction (by dividing both numerator and denominator by 5) results in 18/1, or simply 18. This shows the close relationship between division and fractions.

Visualizing Division

Imagine 90 apples divided into 5 equal groups. Each group will contain 18 apples. This provides a visual representation of 90 ÷ 5.

Why Different Methods Matter

Having multiple approaches to division helps accommodate various learning styles and preferences. Mental math is useful for quick estimations, calculators provide speedy results, and long division offers a structured step-by-step process to understand the underlying concept. Real-world scenarios highlight the practical relevance of division. The connection to fractions deepens understanding of the interrelationship between mathematical concepts. Visualization further reinforces comprehension. While a calculator can provide a quick answer, understanding how that answer is derived is crucial for building a solid mathematical foundation.

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Mark Soldy

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