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

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

## Building Blocks/Prerequisites

### 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:

______ ÷ ___ = ____

 ○○○○○○○○○○○ ○○○○○○○○○○○

 ○○○○○○○○○○○ ○○○○○○○○○○○

 ○○○○○○○○○○○ ○○○○○○○○○○○

 ○○○○○○○○○○○ ○○○○○○○○○○○

 ○○○○○○○○○○○ ○○○○○○○○○○○

○○○

(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:

______ ÷ ___ = ____

 ○○○○○

 ○○○○○

 ○○○○○

 ○○○○○

○○○

(23 ÷5 = 4 r3)

(23)

Write the division problem for the model:

______ ÷ ___ = ____

 ○○○○○○○○○○○

 ○○○○○○○○○○○

(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)