Long division with remainder  lesson with word problems
This is a complete lesson with instruction and exercises for fourth grade, concerning long division with remainder. Students work on division problems and check their answers. They also get to solve many word problems that involve remainders.
When using long division, the division is not always exact. 



1. Divide. Check each result in the empty space by multiplication and addition.
a.
514 ÷ 3
Check:

b.
673 ÷ 8
Check:

c.
1,905 ÷ 6
Check:

d.
8,205 ÷ 4
Check:

2. Find the divisions that are incorrect. Redo the ones that are wrong below.




d. How can you spot the error in (a)
just by looking at the remainder 463 ÷ 6 = 77 R 7 ?

3. Write a division sentence for each problem, and solve it. Lastly, explain what the answer means.
a.
Arrange 112 chairs into rows of 9. ______________________________
We get _____ rows, _____ chairs in each row, and _______________ _______________________________ 
b.
Arrange 800 erasers into piles of 3. ______________________________
We get _____ piles, _____ erasers in each pile, and _______________ _______________________________ 
Imagine you are trying to pack
some things
evenly into some “containers”, Often students make
mistakes with such problems. Read the
question carefully. 

146 people were transported in vans that each carry 9 passengers. How many vans were needed? The division is 146 ÷ 9 = 16 R2, so 16 vans will be full and one van will have 2 passengers. But the answer is, they needed 17 vans. 
You pack 1,250 blank CDs into boxes of 200 each. How many full boxes will you get? 6 × 200 = 1,200; so 1,250 ÷ 200 = 6 R50. 6 boxes will be full (and 50 CDs are left over, not packed). 
Solve the problems. Sometimes you can use multiplication instead of division.
4. A company bags 2,000 lb of potatoes
into 12lb bags. The division is: 2,000 ÷ 12 = 166 R8. How many full bags will they get? 5.If you can fit
50 people into one bus,
6. Mr. Eriksson can have 75 days of vacation
7. A farm packs 400 kg of strawberries so that
8.
Can you pack 412 tennis balls into containers a. 4 balls? b. 5 balls? c. 6 balls? 
9. Mr. Sandback wants to paint 740 blocks with 6 different colors—red, orange, yellow, green, blue, and purple  in nearly equal amounts. How many should be colored with each color?
10. Do one problem from each box by long
11. A challenge: if 231
÷ 6 = 38 R3, then figure 
12. Divide these numbers by 10 and indicate the remainder. There is a shortcut!



What is wrong with the division result 31
÷ 6 = 4 R7?

This lesson is taken from Maria Miller's book Math Mammoth Division 2, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.
Math Mammoth Division 2
A selfteaching worktext for 4th grade that covers long division, finding fractional parts with division, word problems, remainder, average, and divisibility.
Download ($5.10). Also available as a printed copy.