Division Wiki

How to calculate 640 divided by 60 using long division?

640 ÷ 60
=
10.666666666667

Division is a fundamental arithmetic operation where we calculate how many times a number (divisor or denominator) can fit into another number (dividend or numerator). In this case, we are dividing 640 (the dividend) by 60 (the divisor).

There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:

  • 640 divided by 60 in decimal = 10.666666666667
  • 640 divided by 60 in fraction = 640/60
  • 640 divided by 60 in percentage = 1,066.6666666667%

What is the Quotient and Remainder of 640 divided by 60?

The quotient is calculated by dividing the dividend by the divisor, and the remainder is what's left over if the division doesn't result in a whole number.

The quotient of 640 divided by 60 is 10, and the remainder is 40. Thus,

640 ÷ 60 = 10 R 40

When you divide Six Hundred And Forty by Sixty, the quotient is Ten, and the remainder is Forty.

Let's calculate 640 divided by 60 using long division

Step 1:

 
60640

Step 2:

 0
60640
 -0
 64

Step 3:

 01
60640
 -0
 64
 -60
 4

Step 4:

 01
60640
 -0
 64
 -60
 40

Step 5:

 010
60640
 -0
 64
 -60
 40
 - 0
 40

Verdict

The division of 640 by 60 results in a quotient of 10 and a remainder of 40, meaning 60 goes into 640 Ten times with 40 left over. Understanding this division process is crucial in both basic arithmetic and real-life applications where division is used, such as in financial calculations, data analysis, and everyday problem-solving.

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Frequently Asked Questions

How do we differentiate between divisor and dividend?

A dividend is a number we divide, while a divisor is a number by which we divide. Divisor comes on second, followed by the dividend that we write first.

For instance, if you have 12 candies and want to distribute them among 3 children, the equation will be 12 ÷ 3. You will put 12 first because this is the number being divided. So here, 12 is a dividend. On the other hand, 3 is written after 12, and it is the number with which we are dividing 12. Hence, 3 is a divisor.

Which formula is used to find a divisor?

There are two formulas used to find a divisor.

The first one is: Divisor = Dividend ÷ Quotient. This formula is used to find a divisor when the remainder is 0.

Second is: Divisor = (Dividend – Remainder) /Quotient. This formula is used when the remainder is not 0.

Is there a possibility of a number having the same divisor?

Yes, there is. Every number can be divided by itself, leaving 1 as the quotient. So, it would not be wrong to say that all the numbers can have the same divisors.

Let’s take the example of 5. If we divide 5 by 5 (5 ÷ 5), then 5 will be the divisor of 5. And ultimately, 1 will be the quotient.

What is the difference between a divisor and a factor?

A divisor is a number with which we can divide any number. However, a factor is different from a divisor. It is the number that can be divided with another number leaving no remainder. All factors are divisors, but not all divisors are factors.

Is it possible to do division by repeated subtraction?

Fortunately yes. You can do division by repeated subtraction. In repeated subtraction, we continuously subtract a number from a bigger number. It continues until we get the 0 or any other number less than the actual number as a remainder.

However, it can be a lengthy process, so we can use division as a shortcut.

Can I check the remainder and the quotient in a division problem?

Yes, you can quickly check the remainder and quotient in a division problem by using this relationship:

Dividend = Divisor x Quotient + Remainder