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Reference table

Modulo Table: a mod b (remainder) by Dividend (a)

Reference table of mod b (remainder) for Modulo across a range of dividend (a) values — exact, engine-computed figures you can read off at a glance.

By Vikram Iyer, M.Sc Mathematics · Updated Jun 2026 · 1 min read

This modulo reference table shows the mod b (remainder) for a range of dividend (a) values, assuming a divisor (b) of 5. Every figure is computed with the same engine that powers our Modulo Calculator, so the numbers are exact.

Dividend (a)a mod b (remainder)Whole quotient
4.34.30000
8.53.50001
133.00002
172.00003
261.00005
344.00006
511.000010
850.000017
1200.000024
1700.000034

How to use this table

Find the row closest to your dividend (a) and read across to the mod b (remainder). For a value between two rows, the real figure sits between them — or enter your exact numbers in the Modulo Calculator for a precise answer.

Need a value that is not in the table? — the Modulo Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring math calculators with these tools: Margin of Error Calculator, Sample Size Calculator, Confidence Interval Calculator, Coefficient of Variation Calculator, Regular Heptagon Area Calculator.

Calculators in this guide

Frequently asked questions

Each cell is computed with the standard formula using exact arithmetic — the same calculation behind our Modulo Calculator — so every figure is accurate for the stated assumptions.

Yes. The table covers common dividend (a) values; for any exact figure, enter your own numbers in the Modulo Calculator.

Vikram Iyer · M.Sc Mathematics

Vikram Iyer is a mathematics educator with over fifteen years of teaching experience, specialising in making quantitative concepts clear and practical for everyday use.