This is a finish lesson v instruction and also exercises for fourth grade, wherein students division four-digit numbers using long division, and the quotient may have a zero. The lesson likewise shows an instance and practice of short, even divisions, and some indigenous problems
Study the example carefully. We require to location a zero in the quotient.

You are watching: Division with zero in the quotient

2 4
4

)

9 6 2 0

-

8
1 6
2 4 0
4 )

9 6 2 0

-

8
1 6
- 1 6
0 2
2 4 0 5
4 )

9 6 2 0

-

8
1 6
- 1 6
0 2 0
- 2 0
0
At this point, thedivision is even.Continuenormally,multiplying 4 × 4 = 16.
Now, 4 does not enter 02,so placea zero in the quotient.Youcan either proceed as usual, OR drop another digitfrom the dividend.
Dropping an additional digitfrom the dividend, weget 020. 4 goes into 20 5 times.
1. Let"s practice! There will be a zero in the quotient. Main point to check.

a.
*
Check:
b.
*
Check:
c.
*
Check:
d.
*
Check:

2. For much more practice, execute these in a notebook or empty paper. Usage grid file if possible.

a. 8,115 ÷ 3 b. 6,540 ÷ 5 c. 9,163 ÷ 7 d. 6,378 ÷ 6

Short, even division

2,156 ÷ 7 is basic to do mentally:

2,100 ÷ 7 is 300, and also 56 ÷ 7 is 8. So the answer is 308.

If we use the division corner, we gain a yes, really “short” division. The is due to the fact that the division is also from the start. So, just move on come the next digit in the dividend. You perform not have to multiply & subtract.

th h t o
0 3
7

)

2 1 5 6
th h t o
0 3 0
7

)

2 1 5 6
th h t o
0 3 0 8
7

)

2 15 6
7 goesinto 21three times.
7 goesinto 5zerotimes...
...so lookat thetwo number (56).7 goes right into 56 eight times.

3. Divide.

a.
*
b.
*
c.
*
d.
*
e.
*
f.
*

*
4. Mary divided her 285 buttons evenly right into the 5 compartments. Discover out exactly how many buttons room

a. in one compartment

b. in 3 compartments

c. in four compartments.

5. A gallon of ice cream prices $12.96. You and also her brother each pay because that 1/8 of the cost, and also mom will certainly pay the rest.

a. uncover each person"s share of the cost.

You: _____________ your brother: _____________

Mom: _____________

b.

See more: What Are The Principal Elements Of A Public-Key Cryptosystem? ?

uncover each person"s share of the ice cream cream in cups. (Hint: 1 gallon is four quarts, and a quart is 4 cups.)

You: _____________ her brother: _____________

Mom: _____________

*

See also

Long division worksheetsCreate an endless supply that worksheets because that long department (grades 4-6), including with 2-digit and also 3-digit divisors. The worksheets have the right to be made in html or PDF style - both are basic to print. Girlfriend can additionally customize them making use of the generator./worksheets/long_division.php

Place worth Grade 1Grade 2Grade 3Grade 4Add & subtract lessonsGrade 1Grade 2Grade 3Multiplication grade 3Grade 4
Division grade 3Grade 4 DivisibilityFraction Lessons adding mixed numbersGeometry lessons
Decimals Lessons multiply a decimal by a totality number Percents lessons General