1. Long Division by Michael Hedderig

2. 6
5,390

3. Dividend 6
5,390

4. Divisor 6
5,390

5. The Answer is called
??? 6
5,390

6. Quotient
??? 6
5,390

7. The answer (quotient) is written above the dividing line.
??? 6
5,390

8. 6
5,390
???
We will check our work under the dividend.

9. Where do I start?

10. 6
5,390
This is too large of a number to use all at once.

11. Remember Place Value

12. 6
5,390
Begin with the largest place value.

13. And follow these four steps

14. There is a special way to remember.
Dirty
Monkeys
Smell
Badly

15. There is a special way to remember.
Divide up
Multiply down
Subtract
Bring down

16. Okay, let’s get started!

17. 6
5,390
Check if the divisor will enter the first digit in the dividend.

18. Will 6 fit inside 5? 6
5,390
No!!!
6 x 0 = 0
6 x 1 = 6 too big

19. 6 5,390 Will 6 fit inside 53? Because 6 is too big to enter 5…
We have to check the first two digits.
Will 6 fit inside 53?

20. 6 5,390 Yes! How many times? 6 X 6 = 36 6 x 7 = 42 6 x 8 = 48

21. 8 times! With some left over…
6 X 6 = 36
6 x 7 = 42
6 x 8 = 48
6 x 9 = 54
8 times! With some left over…

22. 8 6 5,390 Put the 8 over the 3 That’s the answer 6 x 8 = 48
Remember, the quotient goes here.
That’s the answer 8 6
5,390
Put the 8 over the 3
6 x 8 = 48

23. 8 6
5,390
Nothing goes over the 5 because 6 could not enter 5—It’s too small.

24. Remember the order
Divide up
Multiply down
Subtract
Bring Down

25. Remember the order
Divide up
Multiply down

26. Underneath is where we show our work.
Multiply 8 X 6 = 48 8 6
5,390
4 8
Underneath is where we show our work.

27. Subtract just these numbers.8 6
5,390
4 8

28. Remember the order
Divide up
Multiply down
Subtract

29. We need to regroup in order subtract8 6
5,390
4 8

30. Regroup… 8 6
5,390 4 1
4 8 5

31. What’s next?

32. Remember the order
Divide up
Multiply down
Subtract
Bring Down

33. 8 6
5,390 4 9 1
4 8 5

34. 8 6
5,390 4 1
4 8 5 9

35. You did the first place value
Congratulations!!!
You did the first place value

36. 2
How many place values left to go? 8 6
5,390 4 1
4 8 5 9

37. Remember the order
Divide up
Multiply down
Subtract
Bring Down

38. But work from where you bring down.
Start over…
But work from where you bring down.

39. Like this… 8 6
5,390 4 1
4 8 5 9

40. How many times will 6 enter 59?8 6
5,390 4 1
4 8 5 9

41. 6 x 7 = 42
6 x 8 = 48
6 x 9 = 54
6 x 10 = 60 8 6
5,390 4 1
4 8 5 9

42. 8 9 6 5,390 4 8 5 9 4 The division answer goes up. 1 6 x 7 = 42

43. 89 6
5,390
4 8 59

44. Remember the order
Divide up
Multiply down

45. 8 9 6
5,390
4 8 59 54
6 x 9 = 54

46. Remember the order
Divide up
Multiply down
Subtract

47. 8 9 6
5,390
4 8 59 54 5

48. Remember the order
Divide up
Multiply down
Subtract
Bring Down

49. 8 9 6
5,390
4 8 59 54 5

50. You did the next place value!!!

51. 8 9
Since one place value is left, we need one more digit for the answer. 6
5,390
4 8 59 54 50

52. But work from where you bring down.
Start over…
But work from where you bring down.

53. Remember the order
Divide up

54. 8 9 6
5,390
4 8
How many times will 6 enter 50? 59 54 50

55. 8 9 6
5,390
4 8
6 x 7 = 42
6 x 8 = 48
6 x 9 = 54
6 x 10 = 60 59 54 50

56. 8 9 8 6
5,390
4 8
6 x 7 = 42
6 x 8 = 48
6 x 9 = 54
6 x 10 = 60 59 54 50

57. Remember the order
Divide up
Multiply down

58. 8 9 8 6
5,390
4 8
6 x 7 = 42
6 x 8 = 48
6 x 9 = 54
6 x 10 = 60 59 54 50 48

59. Remember the order
Divide up
Multiply down
Subtract

60. 8 9 8 6
5,390
4 8 59 54 50 48 2

61. 8 9 8 6 5,390 4 8 59 54 50 48 2 Nothing left to bring down!
Where does the two go? 50 48 2

62. 8 9 8
R 2 6
5,390
4 8 59
The 2 is expressed as a
remainder 54 50 48 2

63. Congratulations!!!
You’re done!

64. This is your final answer.8 9 8
R 2 6
5,390
4 8 59
This is your final answer. 54 50 48 2