Envision Math 2.0: Grade 6, Volume 1
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2. Fluently Divide Whole Numbers and Decimals
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Exercise 16 Page 17

Make an estimation by using compatible numbers. Find the actual quotient by dividing, multiplying, subtracting, and comparing. Repeat the steps as needed to complete the division.

123 R10

Practice makes perfect
To divide 2593 by 21, we first make an estimation. Since 2593 and 21 are close to 2600 and 20, these numbers seem good to use for our estimation. 2600 Ă· 20 = 130

The quotient of 2593 and 21 is about 130, so the first digit of the quotient will be in the hundreds place. We calculate the actual quotient by following four steps.

  1. Divide
  2. Multiply
  3. Subtract
  4. Compare
Next, we bring down the tens and repeat the steps as needed until the remaining number is less than the divisor.
Finally, we have that 2, 593Ă· 21 is 123 R10. We know that the answer is reasonable because 123 is close to our estimate.