Dividend, Divisor, and Quotient Calculators




The three parts to a division operation are the dividend, the divisor, and the quotient. The dividend is the starting number that is being divided, the divisor is the number the dividend is being divided by, and the quotient is the answer.

If you have any two of the three parts, then you can calculate the missing part. We have created five different calculators for all the different scenarios.

#1 Find the quotient and the remainder
You know the dividend and the divisor, and you want to calculate the quotient and the remainder.
Dividend:
Divisor:
Quotient:
Remainder:








#2 Find the quotient in decimal form
You know the dividend and the divisor, and you want to calculate the quotient. (Answer rounded to nearest thousandth if necessary)
Dividend:
Divisor:
Quotient:







#3 Find the dividend
You know the divisor and the quotient, and you want to calculate the dividend. (Answer rounded to nearest thousandth if necessary)
Dividend:
Divisor:
Quotient:







#4 Find the divisor
You know the dividend and the quotient, and you want to calculate the divisor. (Answer rounded to nearest thousandth if necessary)
Dividend:
Divisor:
Quotient:







#5 Find the dividend and the divisor
You know the quotient, and you want to calculate the dividend and the divisor.
Dividend:
Divisor:
Quotient:








Do you want to know how our calculators work? Here is how each calculator finds the answer for you:

Calculator #1:
This is just a normal division problem. We used long division to get the quotient and the remainder.



Calculator #2:
This is also a normal division problem. This what you would get if you type in the dividend divided by the divisor on a normal calculator.



Calculator #3:
To find the dividend, we start with this known equation:

dividend ÷ divisor = quotient

Which can be rewritten as follows by solving for the dividend:

dividend = quotient × divisor

Thus, to find the dividend, we multiply the quotient by the divisor.



Calculator #4:
To find the divisor, we again start with this known equation:

dividend ÷ divisor = quotient

Which can be rewritten as follows by solving for the divisor:

divisor = dividend ÷ quotient

Thus, to find the divisor, we divide the dividend by the quotient.



Calculator #5:
This is easy if you enter an integer as the quotient. Then we simply make the dividend the quotient and 1 the divisor and we are done!

However, if the quotient is a fractional number (decimal number), then it is not as easy. In that case, we do the following:

a) Make the dividend the quotient and 1 the divisor.

b) Multiply the dividend and the divisor by a number that will make the dividend an integer.

c) Use a GCF Calculator to find the greatest common factor of the dividend and divisor.

d) Divide the dividend and the divisor by the greatest common factor to get the answer.





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