In Excel: use =MOD(number, divisor) — it returns the remainder after division, so =MOD(17, 5) returns 2.
Syntax
Arguments
| Argument | Description | |
|---|---|---|
number | required | The value to divide. |
divisor | required | What to divide by. Zero returns #DIV/0!. |
Related functions
Select the cell for the remainder and type =MOD(.
Select the total, type a comma, then enter the divisor.
Press Enter. Pair it with =INT(total/divisor) to get the whole-unit half of the same split.
For row banding, use it inside a conditional-formatting formula rule rather than in a cell.
Need it as an auditable file?
Ships inside the linked template — formula-driven, unlocked, audit-ready.
What this does
MOD returns what is left after dividing. Two uses dominate in practice: extracting a remainder alongside INT (minutes left over after whole hours, items left over after full boxes), and testing for a repeating pattern. =MOD(ROW(), 2)=0 is true on every even row, which is the standard conditional-formatting rule for banding a table. Its result takes the sign of the divisor, not the dividend, which surprises people coming from other languages: =MOD(-1, 3) returns 2 in Excel. A divisor of zero returns #DIV/0!. The same idea underpins a lot of everyday Excel work, so the few minutes spent getting it right here pay back across every sheet you build afterwards. Treat it as a pattern, not a one-off, and it stops being something you look up and starts being something you reach for. The difference between a quick fix and a sheet you can trust is the extra minute you spend validating “modulo formula excel”. Start on a copy or a tiny sample, keep the affected formula visible, and compare the result with the tool above before you touch the real workbook. When a formula is involved, keep the inputs labelled beside it, reference cells instead of typing values, and apply number formatting only after the result checks out. The point is a calculation you can defend to a CFO or an auditor, but the practical win is that someone else can open the file and understand what happened without asking you.
A worked example
After =INT(197/60) gives 3 whole hours, =MOD(197, 60) returns the leftover 17 minutes. To shade every third row, apply a conditional-formatting rule of =MOD(ROW(),3)=0. To test whether a quantity divides evenly into cases of 12, =MOD(A2,12)=0 returns TRUE only when there is no partial case. MOD is the one function that answers both "what is left over" and "is this the nth item", which covers remainders, cycles and every alternating-format rule. If there is any chance you will reuse this, drop it into a small template tab right now: a labelled input area on the left and the formula beside it, checked once against the tool above. Next time the same question comes up, the answer is a single paste away instead of a rebuild from memory.
In Google Sheets
Google Sheets handles this almost identically to Excel. The formula syntax above is the same, and the menu lives under a slightly different label rather than a ribbon tab. Use the platform toggle at the top of the page to switch every keyboard shortcut between Windows and Mac, and expect at most cosmetic differences in naming. Keep this page bookmarked for the next time the same question comes up. Better still, rebuild the example once in your own sheet — doing it yourself, with the tool above to check against, is what turns a copied formula into a technique you own. Treat “modulo formula excel” as a small building block rather than a chore. Once the inputs sit in their own cells and the formula reads from them, the same setup answers a dozen related questions with a tweak, and Excel keeps every dependent figure current as the data changes. The tool above is there so you can rehearse and verify before committing anything to a real workbook; the steps and worked example are there so the logic sticks. Get it right once and it stops costing you time — it starts saving it, every time the question comes back around.
Common mistakes
- Expecting a negative result from a negative dividend — MOD takes the sign of the divisor, so
=MOD(-1, 3)is 2, not -1. - A divisor of 0, which returns
#DIV/0!. - Using MOD for banded row colours on a real Excel Table, where the built-in banded-rows style already does it and survives sorting.
Frequently asked questions
How do I find the remainder of a division?
=MOD(A2, B2) returns what is left over. =QUOTIENT(A2, B2) returns the whole-number part of the same division.
How do I highlight every other row?
Add a conditional-formatting rule with the formula =MOD(ROW(),2)=0 and set a fill. On an Excel Table, prefer the built-in banded-row style.
Why is MOD(-1, 3) equal to 2?
Excel's MOD follows the divisor's sign, so the result is always between zero and the divisor. Many programming languages instead follow the dividend and would return -1.