What is the remainder of 119 divided by 4
The correct answer and explanation is:
Correct Answer:
The remainder of 119 divided by 4 is 3.
300-Word Explanation:
To find the remainder of 119 divided by 4, you are essentially performing division with remainder (also known as modulus operation). This is asking, “How many whole times does 4 go into 119, and what is left over?”
Step-by-step Division:
- Divide 119 by 4: 119÷4=29.75119 ÷ 4 = 29.75 This means 4 goes into 119 a total of 29 whole times, with some remainder.
- Multiply the whole number part of the quotient by the divisor to find out what has been fully divided: 4×29=1164 × 29 = 116
- Subtract this product from 119 to find the remainder: 119−116=3119 – 116 = 3
So, when 119 is divided by 4, the quotient is 29 and the remainder is 3.
Understanding Remainders:
When you divide two numbers, and the dividend (number being divided) doesn’t split evenly by the divisor (number you divide by), there’s a leftover — that leftover is the remainder.
You can express this using the division equation format: Dividend=(Divisor×Quotient)+Remainder\text{Dividend} = (\text{Divisor} × \text{Quotient}) + \text{Remainder}
In this case: 119=(4×29)+3119 = (4 × 29) + 3 119=116+3119 = 116 + 3
Alternative Method – Modulo:
You can also think of this as: 119mod 4=3119 \mod 4 = 3
This is useful in computer programming, where % is used to get the remainder.
Conclusion:
The remainder of 119 divided by 4 is 3, and understanding this helps build a strong foundation in division, number sense, and modular arithmetic.