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Solving Dividing 2 into 4 Digit Worksheet

This Solving Dividing 2 into 4 Digit Worksheet gives 5th graders six long-division problems with two-digit divisors, plus a word problem with a work box. Answer key included.

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About this resource

Description

Dividing a two-digit number into a four-digit one is the top of the fifth-grade division standard, and it is where the long-division algorithm stops being a trick and starts being a method. This Solving Dividing 2 into 4 Digit Worksheet gives students six problems of exactly that shape, each with a divisor between fourteen and forty-five and a dividend in the thousands, and enough room under every problem to show all four steps.

Every quotient is exact, so nothing on the sheet ends in a remainder and a student who is still learning the estimate-multiply-subtract-bring-down cycle can check their own work by multiplying back. All six dividends are four digits and all six quotients are three, which keeps the problems the same size on the page and means no student can guess which one is meant to be easier. This 4th grade division worksheet skill moves up a full digit here. A word problem about an apple harvest closes the sheet with a work box and two answer lines, one for the answer and one for the check. An answer key is included.

What’s Included

  • 1 print-ready PDF worksheet
  • Answer key
  • 6 long-division problems, two-digit divisors into four-digit dividends
  • 1 word problem with a work box and two answer lines
  • Every quotient exact, with no remainders anywhere

There are three reasons this resource helps children with long division. First, the divisors are varied rather than friendly, so a student cannot coast on facts they already know and has to estimate properly. Second, every problem on this Solving Dividing 2 into 4 Digit Worksheet has room underneath for the whole algorithm, which is where a teacher can see exactly which step went wrong. Third, the word problem asks for a check as well as an answer, so multiplication and division stay connected in the student’s mind.

Teachers and parents can strengthen this in a few minutes a day. Ask a student to estimate the quotient before dividing and then compare it to what they got. Work one problem together on a whiteboard and stop after each step to say aloud what was just done. Multiply the quotient by the divisor to check every answer, every time, until checking stops feeling optional. When a problem goes wrong, find the step rather than starting over.

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