8th Grade Long Division Quizzes

Reconnect the algorithm to place value before emphasizing speed. Model one problem with the cycle estimate, multiply, subtract, and bring down; then have students explain why each quotient digit belongs in its place. Include examples with two-digit divisors and remainders so students must estimate rather than rely on memorized facts.

Use a short progression: exact quotients first, then remainders, followed by larger dividends and two-digit divisors. Ask students to verify selected answers by multiplying the quotient by the divisor and adding the remainder.

Common errors include placing quotient digits in the wrong column, choosing a quotient digit that is too large, forgetting to bring down a digit, and reporting a remainder greater than the divisor. Requiring a multiplication check makes most of these errors visible.

Assign a quiz as a digital quiz on Wayground or download the printable PDF for paper practice. Every quiz includes a complete answer key, and paper submissions can be scanned or captured for grading with the Wayground for Teachers app.

Common Core treats fluent multi-digit division as prior knowledge that supports Grade 8 work with rational numbers, scientific notation, and equations. Students who can interpret quotients and remainders are better prepared to divide numbers written in scientific notation and reason about rates.

Give students who need support a version with larger type or wider spacing, and use reduced answer choices in digital questions when estimating quotient digits is the main barrier. Advanced students can work with larger divisors or explain how a remainder changes the result.

Yes. In Grade 8, long division is usually reviewed and extended rather than introduced. It is useful for addressing unfinished learning and preparing students for calculations involving rational numbers, scientific notation, and algebra.