“Now I will try 2. Since 8 2 = 16, there is 1 marble left over. Then 737 divided by 8 is 92 (50 + 30 + 10 + 2) with remainder 1. Each child gets 92 marbles with 1 left over.”

Nila estimated to see if her answer was reasonable. She figured that 737 is a little less than 800 and 800 ÷ 8 = 100, so the answer should be a little less than 100. Her answer of 92 R1 is reasonable.

Then Nila checked her work for accuracy using multiplication. She wanted to make sure that 92 8 + 1 = 737.

  1. Solve the following problems with the partial quotients method. Then use multiplication to check your answers for accuracy.
    1. 617 ÷ 8
    2. 4762 ÷ 4
  2. Solve these problems using the partial quotients method.
    1. 5478 ÷ 9
    1. Show how you used estimation to check each answer for reasonableness.