How to Use Chimney Division

1. How to Use Chimney Division By Mr. Kissner Version 1.3

2. What is chimney division? Chimney division is the process of using multiples to solve long division problems

3. The KEY to chimney division lies in understanding multiples Multiples are all the possible products for a given factor The number being multiplied

4. Here is an example The multiples of 3 3, 6, 9, 12, 15, 18, 21, 24… The multiples of 8 8, 16, 24, 32, 40, 48, 56…

5. Remember that multiples go one forever! 270 102 1800 30 900 3 51 630 21,000,000 Just to name a few

6. Look at these numbers. Which numbers are multiples of 8? 85 800 32 618 43 631 72 5600

7. Look at these numbers. Which numbers are multiples of 8? Multiple of 8 NOT a Multiple of 8 32 631 72 618 5600 43 800 85

8. Now look at the parts of a long division problem remainder 141 r 3 quotient 567 4 divisor dividend

9. The funny thing about division is that you have to use all four operations! + - x ÷

10. 5 345 Here is a division problem With the standard division solving, if you make a minor error with dividing the whole problem is wrong and you would then have to start over. With chimney division minor errors can be fixed easier.

11. 5 345 This is how chimney division works Remember to leave room on the top of the division symbol to make a column of numbers 1. Write a division problem using the division bar

12. 5 345 This is how chimney division works Ask yourself the question: What is a multiple of 5 that is less than 345? 2. Think of a multiple of the divisor that is LESS THAN the dividend 300 is a multiple of 5 that is less than 345. 5x60=300

13. 5 345 This is how chimney division works 3. Put the multiple under the dividend and factor on top of the division bar 60 300 5x60=300

14. 5 345 This is how chimney division works 4. Now subtract the multiple from the dividend to get the remainder 60 dividend -300 multiple 45 remainder

15. 5 345 This is how chimney division works 5. If the remainder is greater than or equal to the divisor, repeat steps 1 to 4 The remainder is 45 the divisor is 5 45>5 So Repeat the first four steps 60 -300 45

16. 5 345 This is how chimney division works 40 is a multiple of 5 because 40=5x8 8 60 -300 45 -40

17. 5 345 This is how chimney division works The remainder is 5 the divisor is 5 5=5 So Repeat the first four steps 8 60 -300 45 -40 5

18. 5 345 This is how chimney division works 5 is a multiple of 5 because 5=5x1 1 8 60 -300 45 -40 5 -5

19. 5 345 This is how chimney division works 1 8 The remainder is 0 the divisor is 5 0<5 Now go on to final step 60 -300 45 -40 5 - 5 0

20. 5 345 This is how chimney division works 69 1 Add up the Chimney and you will get your final quotient 8 +60 -300 45 -40 5 - 5 0

21. 5 345 This is how chimney division works 69 1 8 +60 -300 45 -40 5 - 5 0

22. 8 177 Let’s try another problem The great part of chimney division is the answer is all that matters! This problem can be solved just by using tens and ones

23. 8 177 If you got that quotient 22 r1 then you have the right answer. 22 1 1 10 10 + r 1 -80 97 Don’t worry if you used different multiples. The right answer is what counts! -80 17 -8 9 -8 1

24. 6 562 Try this problem on your own. Write the problem in the middle of the paper to give you enough room for your chimney 93 r 4 Check your answer. If you have this Quotient you are correct

25. 6 3 5 129 387 633 Do these problems for homework Write the problems in the middle of the paper to give you enough room for your chimney

26. Try your best and write down any questions you have about chimney division for your teacher