Division Terms
Define the term "dividend" in long Division
The number that is being divided or split apart
Solve: 63÷7
9
Find the quotient:
4.8÷2
2.4
True or False: 98÷7 has no remainder. If true, give the quotient.
True: 14
Compute: 1/2÷1/4. Explain in one sentence why your answer makes sense.
2
Reason: 1/2 is twice as large as 1/4
What is the "divisor" in a division problem?
The number doing the dividing.
The amount of groups we are splitting a number into.
Solve using long division steps:
128÷8
16
Solve and explain how moving the decimal changes the problem:
15÷0.5
30
(Multiply numerator and denominator by 10 to get 150÷5=30.)
Find a two-digit number between 20 and 50 that is divisible by 4 with no remainder. Show your work.
24 is divisible by 4 with no remainder because 24÷4=6. (Other valid answers between 20 and 50 include 28,32,36,40,44,48.)
Solve: 3/4÷1/2 and show the multiplication-by-reciprocal step.
3/4×2/1=(3×2)/(4×1)=6/4=3/3
Explain what the "quotient" is and write the the quotient for 24 divided by 6.
The quotient is the answer to a division problem.
The quotient is 4.
Solve and show each long division step:
215÷5
43
Long-division partial steps: 21 → 4 (4×5=20), bring down 5 → 15 → 3 (3×5=15).
Solve using long division with decimals and show where the decimal point goes in the quotient:
12.6÷3.
4.2
(Decimal in quotient placed directly above decimal in dividend.)
Solve: 360÷9 and confirm there is no remainder.
A recipe needs 2/3 cup of sugar for one batch. If you have 2 cups, how many batches can you make? (Compute 2÷2/3 and show work.)
2÷2/3=2×3/2=3. (You can make 3 batches.)
What does the "remainder" mean in long division? Show the remainder when 47÷ 5.
What is leftover. The pieces that can't be divided evenly by the divisor.
The remainder of 47÷5 is 2.
Solve and explain a pattern you notice:
999÷9
111
(pattern: sum of digits for multiples of 9; also 9×111=9999×111=999).
Solve and explain the steps you use to make the divisor a whole number:
7.2÷0.4
18
(Multiply both by 10 → 72÷4=1872÷4=18.)
Find the smallest three-digit number that is evenly divisible by 6. Show your reasoning.
Smallest three-digit number evenly divisible by 6 is 102 because 100 is not divisible by 6, 101 is not, but 102÷6=17.
Compute and simplify: 5/6÷2/3. Show each step and the simplified result.
5/6×3/2=15/12=5/4=1 1/4
Put these terms in order for the expression:
dividend/divisor= quotient R remainder
Using the following example:
154÷12
Solve using long division and show why your quotient is correct:
784÷7
112
112 X 7= 784
A baker has 3.753.75 pounds of flour and divides it equally among 5 recipes. How much flour does each recipe get? Show your decimal division.
0.75. (Each recipe gets 0.75 pounds.)
A teacher places 432 stickers equally into 8 packets with no stickers left over. How many stickers per packet? Show the division.
54 stickers per packet
A ribbon 7/8 meter long is cut into pieces each 1/6 meter long. How many full pieces can be made, and how much ribbon is left over? (Compute 7/8÷1/6 and interpret the answer.)
Compute 7/8÷1/6 = 7/8×6= 42/8=21/4 =5 1/4.
You can make 5 full pieces of length 1/6 meter, with leftover ribbon of 1/4 of a piece, which equals leftover length 1/4×1/6=1/24 meter. (Alternatively report leftover length as decimal: 7/8−5×1/6=7/8−5/6=21/24−20/24=1/24 meter.)