## What is 50 Divided by 3?

*50 divided by 3 equals 16 with a remainder of 2. In decimal form, it can be expressed as 16.666… (repeating decimal). When simplified as a mixed number, it is 16 2/3. This means that 3 goes into 50 sixteen times, with 2 remaining. It’s a division result that is often expressed as both a whole number and a fractional part.*

## Division with Whole Numbers

Division is one of the four basic arithmetic operations, along with addition, subtraction, and multiplication. It involves determining how many times one number, the divisor, goes into another number, the dividend. Division allows us to split a number into equal parts or groups.

Mastering division is an important foundational math skill. Let’s go through dividing the number 50 by the number 3 to demonstrate the process.

## Restating as a Fraction

Any division problem can be rewritten as a fraction by putting the dividend over the divisor:

50 / 3 = 50/3

This helps visualize that we want to split 50 into 3 equal parts.

Estimating the Quotient

Before diving into the division, it helps to estimate the quotient, or answer. 50 is close to 45 and 3 goes into 45 about 15 times. So our quotient should be close to 15.

## Long Division Method

There are a couple methods to carry out the division. The traditional long division approach is:

- Set up the problem in long division form with 50 on the inside and 3 on the outside.
- Determine how many times 3 goes into the first digit 5. This is 1 time.
- Multiply 3 by 1 and write the product 3 below the 5.
- Subtract 3 from 5 to get the remainder 2.
- Bring down the 0 from 50 to make the new dividend 20.
- Repeat – 3 goes into 20 six times. Write 6, multiply 3 * 6 = 18 and subtract to get a remainder of 2.
- Since there are no digits left in the dividend, the quotient is 16 with a remainder of 2.

So using long division, 50 / 3 = 16 with a remainder of 2.

## Quotient Only Division

If we only need the quotient and don’t need the remainder, short division is faster:

- 3 goes into 5 once, so write down 1.
- Bring down the 0 to make 10.
- 3 goes into 10 three times, so write down 3.
- The full quotient is 13.

This matches the estimated answer, confirming that 50 / 3 = 13.

Practicing division forms a strong foundation for more complex math later on. Breaking processes down step-by-step helps build proficiency and fluency.

In summary, dividing involves splitting a dividend into equal parts based on the divisor. We can estimate quotients and use long or short division to calculate the full answer.

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