Math & Trig

QUOTIENT Formula

QUOTIENT returns the integer portion of a division, discarding the remainder. It's the mathematical equivalent of integer division (like // in Python or div in Pascal). Use it when you need whole units only — such as how many full boxes you can fill, how many complete hours are in a number of minutes, or converting units where only whole numbers matter.

Syntax

QUOTIENT(numerator, denominator)
ParameterDescription
numerator Parameter of the QUOTIENT function.
denominator Parameter of the QUOTIENT function.
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Examples

Full boxes from items

Formula
=QUOTIENT(250, 12)
Returns 20. You can fill 20 complete boxes of 12 from 250 items, with some left over (use MOD(250,12) to get the 10 remaining).

Hours from minutes

Formula
=QUOTIENT(475, 60)
Returns 7. There are 7 full hours in 475 minutes (with 55 minutes remaining).

Dollar bills needed

Formula
=QUOTIENT(A1, 20)
If A1 is 175, returns 8. You can make 8 complete $20 bills from $175.

Common Errors

#DIV/0!

Dividing by zero: =QUOTIENT(10, 0) returns #DIV/0! because division by zero is undefined.

#VALUE!

Passing non-numeric arguments like =QUOTIENT("ten", 3) produces this error.

Tips

Pair with MOD for remainder

QUOTIENT gives the whole part, MOD gives the leftover. Together: 250 items = QUOTIENT(250,12) boxes + MOD(250,12) loose items.

Truncates toward zero

QUOTIENT(-7, 2) returns -3, not -4. It truncates toward zero, unlike FLOOR which rounds toward negative infinity.

Different from INT(A/B)

INT(A1/B1) rounds down (toward negative infinity), while QUOTIENT truncates toward zero. They differ for negative numbers: INT(-7/2)=-4 but QUOTIENT(-7,2)=-3.

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