Long Division Problems with Remainders Worksheet

Division stops being tidy the moment the numbers stop dividing evenly, and that is exactly where fourth graders need practice. A remainder is not a mistake — it is the part of the whole that could not be shared equally, and reading it correctly is what turns long division from a memorized procedure into real thinking. This long division problems with remainders worksheet gives students six three-digit dividends divided by one-digit divisors, every one of them leaving something left over, plus two story problems where the leftover amount has to be named in the answer.

Part A sets out six long division problems in the standard bracket form, with room under each dividend to bring digits down, multiply, and subtract. Students write the quotient above the bar and record the remainder beside it as R and the number left over. Part B moves the same skill into context: one story about packing markers into boxes and one about arranging chairs in rows, each with a work box for the algorithm and a line for an answer that names both the number of full groups and the amount left over. Use it as independent practice after a long division mini-lesson, as small-group work, or as a quick pre-test before you move on to two-digit divisors.

What’s Included

• 1 print-ready PDF worksheet
• 6 long division problems with three-digit dividends and one-digit divisors
• 6 different remainders, so no answer can be guessed from a pattern
• 2 word problems that require interpreting the remainder
• 1 answer key

This resource helps children learn the skill in three ways. First, keeping every quotient in the three-digit range means students run the full divide-multiply-subtract-bring-down cycle more than once per problem, which is where the algorithm actually gets learned. Second, because all six remainders are different, a child cannot finish the page by spotting a pattern — each problem has to be worked. Third, the two story problems ask what the leftover amount means: four markers that do not fill a box and five chairs that do not complete a row are concrete, and naming them out loud is the step that separates computing a remainder from understanding one.

Teachers and parents can stretch this long division problems with remainders worksheet past the page. Hand a child a cup of counters and a number of equal groups, and let them build the division physically until the leftovers are sitting on the table. Ask students to write their own story for problem 3, deciding what the remainder would be in their scenario. Have partners swap papers and check each other with multiplication: quotient times divisor, plus the remainder, should return the original dividend. If your students still need the easier case first, pair this 4th grade division worksheet with the related resources below and keep the daily practice short.

Related Resources

• Long Division with Remainders Worksheet
• Long Division No Remainder Problems Worksheet
• Two Digit Divisors Division Worksheet
• Counting By Eights Song (Have Fun Teaching)