Arithmetic Tools

Online Long Division Calculator

Quickly find the quotient, remainder, and exact decimal value of any division problem automatically.

Long Division Calculator
Enter the dividend and divisor to find the quotient and remainder.

Enter numbers and calculate to see results.

Understanding Division Terms

Master the vocabulary and basic concepts of arithmetic division.

Dividend vs Divisor

The Dividend is the total amount you start with, sitting "inside" the division bracket. The Divisor is what you divide by, sitting "outside".

The Quotient

The Quotient is your answer! It represents how many complete times the divisor fits into the dividend. It sits "on top" of the division bracket.

The Remainder

The Remainder is the leftover amount that cannot be divided evenly into whole groups. It's often written as "R" next to the quotient.

Frequently Asked Questions

What is a dividend?

The dividend is the number that is being divided in a division problem. For example, in the problem 15 ÷ 3 = 5, the number 15 is the dividend.

What is a divisor?

The divisor is the number you divide by. In the problem 15 ÷ 3 = 5, the number 3 is the divisor.

What is a quotient and a remainder?

The quotient is the whole number result of the division. The remainder is what is left over that couldn't be evenly divided. For instance, 14 ÷ 3 gives a quotient of 4 with a remainder of 2, because 3 × 4 = 12, leaving 2 remaining to get to 14.

Can I divide by zero?

No, division by zero is mathematically undefined. You cannot divide a quantity into zero parts.

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Long Division Calculator | with Remainders | thecalcs