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The Multi-digit division exercise appears under the 6th grade (U.S.) Math Mission, Arithmetic essentials Math Mission and Mathematics I Math Mission. This exercise practices the division algorithm and recognizing quotients and remainders.

Types of Problems

There is one type of problem in this exercise:

  1. Find the quotient and remainder: This problem asks a standard division problem with multi-digit numbers. The user is asked to find the quotient and the remainder and write these in two separate provided boxes.
    Mdd

    Find the quotient and remainder

Strategies

This exercise is easy to get accuracy badges as long as one is familiar with the division algorithm and how to find remainder. The speed badges are hard without a calculator and even with the calculator there is an process that needs to be followed to get the answer.

  1. A calculator goes against the idea of practicing division, but can be used to increase speeds.
  2. Using a calculator, users can divide the numbers and the whole number part is the quotient. In the calculator, subtract the quotient (so all that is left is decimal) and multiply by the denominator to get the remainder.
  3. The above process works because the division algorithm finds that when user divide {p} by {x} they will get {p=qx+r}.

Real-life Applications

  1. Choreographers need to be able to divide the piece they want to perform, into smaller pieces so that everyone will be able to do and give their best, whether they dance or choreograph an orchestra. In the end of the day they need to flow together in harmony and they will use division to accomplish that.

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