4th Grade - Divide Large Numbers By A 1-Digit Number

 
     
 
     
 
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4th
Addition, Subtraction, Multiplication and Division
Divide Large Numbers by a 1-Digit Number
Solve problems involving division of multi-digit numbers by one digit numbers.
Divide large numbers (by 1 digit numbers, i.e. 245 ÷ 9)
 

Sample Problems

(1)

Divide:

956 ÷ 8 =


(119 r4)

(2)

3,795 ÷ 3 =


(1,265)

(3)

Compare the quotients:

138 ÷ 7 O 168 ÷ 9


(19 r5 > 18 r6)

(4)

Estimate the quotient:


482 ÷ 6 =


(480 ÷ 6 = 80)

(5)

Write the division problem for the visual:

______ ÷ ___ = ____


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(113 ÷5 = 22 r3)

Learning Tips

(1)

Model Division:

18 ÷ 4 =

Divide 18 items into 4 groups:


☼ ☼ ☼ ☼

☼ ☼ ☼ ☼


☼ ☼ ☼ ☼


☼ ☼ ☼ ☼

☼ ☼

There are 4 in each group with 2 remaining


Therefore, 18 ÷ 4 = 4 r2



(2)

Child should know simple division facts. Practice division drills with flash cards.

(3)

Division Algorithm:

_____

3) 83


  1. Divide the tens: Multiply 3 x 2 =6, place 6 under the 8 and subtract. Compare the remainder and divisor 2 < 3 (The remainder must be less than the divisor). If not, you can divide further.

_2______

3) 83

-6

2

  1. Divide the ones column: Bring down the 3. Divide 23 by 3. Complete same steps as above. Nothing is left to bring down. Therefore, write the remaining number (remainder 2).

_27__ r2

3) 83

-6 ↓

2 3

- 2 1

2

(4)

Use chart and fill numbers in boxes: it allows the child to keep the numbers aligned better: 89 ÷ 4 = 17 r 1



1

7

r1


4

8

9



-

4




2

9



-

2

8





1



(5)


Math vocabulary:

Quotient- answer for a division problem


Divisor- The number that divides the dividend


Dividend-The number that is to be divided in a division problem


Remainder- The amount left over after you found the answer to the division problem.


i.e.) 627 ÷ 8 = 78 r 3


627 ÷ 8 = 78 r 3 -Quotient

627 ÷ 8 = 78 r 3 -Divisor

627 ÷ 8 = 78 r 3- Dividend

627 ÷ 8 = 78 r 3 - Remainder


Extra Help Problems

(1)

Divide:

____

5 ) 22


(4 r2)

(2)

Divide:

____

3)97


(32 r 1)

(3)

Divide:

53 ÷ 2 =


(26 r 1)

(4)

Divide:

786 ÷ 5 =


(157 r1)

(5)

Divide:

699 ÷ 6 =


(116 r3)

(6)

Divide:

8,262 ÷ 7


(1,180 r2)


(7)

Divide:

5,937 ÷ 2


(2,968 r1)

(8)

Divide:

4,688 ÷ 9


(520 r8)

(9)

Divide:

$74.56 ÷ 8


($9.32)

(10)

Divide:

$29.56 ÷ 4


($7.39)

(11)

Estimate to find the quotient:

555 ÷ 5


(550 ÷5 =110)

(12)

Estimate to find the quotient:

634 ÷ 9


(630 ÷ 9 = 70)

(13)

Estimate to find the quotient:

3,620 ÷ 3


(3,600 ÷ 3 =1,200)

(14)

Estimate the dividend, then divide:

5,629 ÷ 8


(5,600 ÷8 = 700)

(15)

Estimate the dividend, then divide:

48,210 ÷ 6


(48,000 ÷ 6 = 8,000)

(16)

Find the missing divisor:

240 ÷ □ =80


(3)

(17)

Find the missing divisor:

3,500 ÷ □ = 700


(5)

(18)

Find the missing divisor:

3,900 ÷ □ =1,300


(3)

(19)

Compare the quotients:

799 ÷ 8 O 652 ÷ 7


(99 r7 > 93 r1)

(20)

Compare the quotients:

694 ÷ 5 O 678 ÷ 4


(138 r4 < 169 r2)

(21)

Compare the quotients:

187 ÷ 4 O 241 ÷7

(46 r3 > 34 r3)

(22)


Write the division problem for the model:

______ ÷ ___ = ____


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(23 ÷5 = 4 r3)

(23)

Write the division problem for the model:

______ ÷ ___ = ____


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(23 ÷ 2 = 11 r1)

(24)

At Ollie’s Summer Camp, there were 288 kids attending the camp and there were 9 camp counselors. How many kids were with each counselor?


(32 kids)

(25)

Jossi made $294 walking dogs for 6 days. How much money did she make each day?


($49.00)

 

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