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Divide 4 Digit by 2 Digit Numbers with Remainder

- 5th Grade Math

Fifth graders have so far practiced division of 4-digit numbers by 2-digit numbers wherein the division leaves no remainder. In this fun division game, children practice scenarios where the division leaves a non-zero remainder. Children apply estimation strategies to guess the nearest multiple and get comfortable with bigger numbers.

What’s inside?

Begin with estimating quotients.

- Practice the division algorithm by filling in the missing steps

- Compute the remainder

- Compute the dividend given the remainder and divisor. 

Real-World Application

After a vacation, it is usual for people to take stock of expenses incurred during the vacation. Say a person spends $1062, excluding airfare, for a 13-day Europe trip. To calculate per day expense, one must divide the total amount by the number of days. This is one of the many instances when we divide a 4-digit number by a 2-digit number.

What’s next?

Having learned division of 4-digit numbers, children can apply this understanding to work with even bigger numbers. The comfort acquired in this skill prepares them for more complex division problems in higher grades. 

Common Core Alignment

5.NBT.6Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.