1. 6-10 Dividing Decimals
by Decimals
Math Notes
Number Sense 2.2

2. Long Division Mnemonic: REVIEW

3. Long Division Mnemonic: REVIEW
DAD DIVIDE
MOM MULTIPLY
SISTER SUBTRACT
BROTHER BRING DOWN
ROVER REPEAT OR
REMAINDER

4. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3
2.01
0.008
0.05

5. Remember what happens when you multiply
by 10, 100, 1000?

6. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78

7. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78
0.78 x 10 = 07.8

8. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78
0.78 x 10 = 07.8
0.78 x 100 = 78.0

9. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78
0.78 x 10 = 07.8
0.78 x 100 = 78.0
0.78 x 1000 = 780.0

10. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78 Still a DECIMAL
0.78 x 10 = 07.8
0.78 x 100 = 78.0
0.78 x 1000 = 780.0

11. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78 Still a DECIMAL
0.78 x 10 = 07.8
0.78 x 100 = 78.0
0.78 x 1000 = 780.0

12. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78 Still a DECIMAL
0.78 x 10 = 07.8
0.78 x 100 = 78.0
0.78 x 1000 = 780.0

13. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78 Still a DECIMAL
0.78 x 10 = 07.8
0.78 x 100 = 78.0
0.78 x 1000 = 780.0

14. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78 Still a DECIMAL
0.78 x 10 = 07.8
0.78 x 100 = 78.0
0.78 x 1000 = 780.0

15. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78 Still a DECIMAL
Still a
0.78 x 10 = 07.8 DECIMAL
0.78 x 100 = 78.0
0.78 x 1000 = 780.0

16. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78 Still a DECIMAL
Still a
0.78 x 10 = 07.8 DECIMAL
0.78 x 100 = 78.0
0.78 x 1000 = 780.0

17. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78 Still a DECIMAL
Still a
0.78 x 10 = 07.8 DECIMAL
0.78 x 100 = 78.0
0.78 x 1000 = 780.0

18. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78 Still a DECIMAL
Still a
0.78 x 10 = 07.8 DECIMAL
0.78 x 100 = 78.0
0.78 x 1000 = 780.0

19. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78 Still a DECIMAL
Still a
0.78 x 10 = 07.8 DECIMAL
0.78 x 100 = 78.0
0.78 x 1000 = 780.0

20. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78 Still a DECIMAL
Still a
0.78 x 10 = 07.8 DECIMAL
0.78 x 100 = 78.0 Number
Whole
0.78 x 1000 = 780.0

21. Remember what happens when you multiply
by 10, 100, 1000?
0.78 x 1 = 0.78 Still a DECIMAL
Still a
0.78 x 10 = 07.8 DECIMAL
0.78 x 100 = 78.0 Number
Whole
0.78 x 1000 = 780.0

22. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3
2.01
0.008
0.05

23. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3 x 10 =
2.01
0.008
0.05

24. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3 x 10 =
2.01
0.008
0.05

25. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3 x 10 = 13
2.01
0.008
0.05

26. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3 x 10 = 13
2.01 x 100 =
0.008
0.05

27. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3 x 10 = 13
2.01 x 100 =
0.008
0.05

28. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3 x 10 = 13
2.01 x 100 = 201
0.008
0.05

29. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3 x 10 = 13
2.01 x 100 = 201
0.008 x 1000 =
0.05

30. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3 x 10 = 13
2.01 x 100 = 201
0.008 x 1000 =
0.05

31. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3 x 10 = 13
2.01 x 100 = 201
0.008 x 1000 = 8
0.05

32. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3 x 10 = 13
2.01 x 100 = 201
0.008 x 1000 = 8
0.05 x

33. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3 x 10 = 13
2.01 x 100 = 201
0.008 x 1000 = 8
0.05 x 100 =

34. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3 x 10 = 13
2.01 x 100 = 201
0.008 x 1000 = 8
0.05 x 100 =

35. Skills Needed...
Turning DECIMALS into WHOLE NUMBERS
1.3 x 10 = 13
2.01 x 100 = 201
0.008 x 1000 = 8
0.05 x 100 = 5

36. 16 4288
. .

37. 16. 4288
.

38. 16. 4288
.

39. 16 4288
.

40. .
16 4288
.

41. DAD
MOM
SISTER
BROTHER
ROVER

42. DAD
MOM
SISTER
BROTHER
ROVER

43. DAD
MOM
SISTER
4288
.
BROTHER
ROVER

44. DAD
MOM
SISTER
16 4288
. .
BROTHER
ROVER

45. DAD
MOM
SISTER
16. 4288
.
BROTHER
ROVER

46. DAD
MOM
SISTER
16. 4288
.
BROTHER
ROVER

47. DAD
MOM
SISTER
16 4288
.
BROTHER
ROVER

48. STEP 0: Use
DAD
guidelines
MOM
SISTER
16 4288
.
BROTHER
ROVER

49. STEP 0: Use
DAD
guidelines
MOM
SISTER
16 4288
.
BROTHER
ROVER

50. STEP 0: Use
DAD
guidelines
MOM
SISTER
16 4288
. STEP 1: Can 16 go into 4? NO
Can 16 go into 42? YES
BROTHER
ROVER

51. STEP 0: Use
0
DAD
guidelines
MOM
SISTER
16 4288
. STEP 1: Can 16 go into 4? NO
Can 16 go into 42? YES
BROTHER
ROVER

52. STEP 0: Use
02
DAD
guidelines
MOM
SISTER
16 4288
. STEP 1: Can 16 go into 4? NO
Can 16 go into 42? YES
BROTHER
ROVER

53. STEP 0: Use
02
DAD
guidelines
MOM
SISTER
16 4288
. STEP 1: Can 16 go into 4? NO
Can 16 go into 42? YES
BROTHER
ROVER STEP 2:
MULTIPLY
16 by 2

54. STEP 0: Use
02
DAD
guidelines
MOM
16 4288
.
32
SISTER STEP 1: Can 16 go into 4? NO
Can 16 go into 42? YES
BROTHER
ROVER STEP 2:
MULTIPLY
16 by 2

55. STEP 0: Use
02
DAD
guidelines
MOM
16 4288
.
32
SISTER STEP 1: Can 16 go into 4? NO
Can 16 go into 42? YES
BROTHER
ROVER STEP 2:
MULTIPLY
16 by 2
STEP 3:
SUBTRACT 42 - 32

56. STEP 0: Use
02
DAD
guidelines
MOM
16 4288
.
32
SISTER STEP 1: Can 16 go into 4? NO
Can 16 go into 42? YES
BROTHER
ROVER
10 STEP 2:
MULTIPLY
16 by 2
STEP 3:
SUBTRACT 42 - 32

57. STEP 0: Use
02
DAD
guidelines
MOM
16 4288
.
32
SISTER STEP 1: Can 16 go into 4? NO
Can 16 go into 42? YES
BROTHER
ROVER
10 STEP 2:
MULTIPLY
16 by 2
STEP 3:
SUBTRACT 42 - 32
STEP 4:
BRING DOWN the 8

58. STEP 0: Use
02
DAD
guidelines
MOM
16 4288
.
32
SISTER STEP 1: Can 16 go into 4? NO
Can 16 go into 42? YES
BROTHER
ROVER
108 STEP 2:
MULTIPLY
16 by 2
STEP 3:
SUBTRACT 42 - 32
STEP 4:
BRING DOWN the 8

59. STEP 0: Use
02
DAD
guidelines
MOM
16 4288
.
32
SISTER STEP 1: Can 16 go into 4? NO
Can 16 go into 42? YES
BROTHER
ROVER
108 STEP 2:
MULTIPLY
16 by 2
STEP 5:
REPEAT or STEP 3:
REMAINDER SUBTRACT 42 - 32
STEP 4:
BRING DOWN the 8

60. STEP 0: Use
02
DAD
guidelines
MOM
16 4288
.
32
SISTER STEP 1: Can 16 go into 4? NO
Can 16 go into 42? YES
BROTHER
ROVER
108 STEP 2:
MULTIPLY
16 by 2
STEP 5:
REPEAT or STEP 3:
REMAINDER SUBTRACT 42 - 32
STEP 4:
BRING DOWN the 8

61. 02
DAD
MOM
16 4288
.
32
SISTER
BROTHER
ROVER
108

62. STEP 1: DIVIDE 16
02
DAD
into 108 (Estimation
MOM may help)
16 4288
.
32
SISTER
BROTHER
ROVER
108

63. STEP 1: DIVIDE 16
02 6
DAD
into 108 (Estimation
MOM may help)
16 4288.
32
SISTER
BROTHER
ROVER
108

64. STEP 1: DIVIDE 16
02 6
DAD
into 108 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 6
108
ROVER
96

65. STEP 1: DIVIDE 16
02 6
DAD
into 108 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 6
108
ROVER
96 STEP 3:
SUBTRACT
108 - 96

66. STEP 1: DIVIDE 16
02 6
DAD
into 108 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 6
108
ROVER
96 STEP 3:
SUBTRACT
12 108 - 96

67. STEP 1: DIVIDE 16
02 6
DAD
into 108 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 6
108
ROVER
96 STEP 3:
SUBTRACT
12 108 - 96
STEP 4:
BRING DOWN the 8

68. STEP 1: DIVIDE 16
02 6
DAD
into 108 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 6
108
ROVER
96 STEP 3:
SUBTRACT
12 8 108 - 96
STEP 4:
BRING DOWN the 8

69. STEP 1: DIVIDE 16
02 6
DAD
into 108 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 6
108
ROVER
96 STEP 3:
SUBTRACT
12 8 108 - 96
STEP 4:
BRING DOWN the 8
STEP 5:
REPEAT OR REMAINDER?

70. STEP 1: DIVIDE 16
02 6
DAD
into 108 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 6
108
ROVER
96 STEP 3:
SUBTRACT
12 8 108 - 96
STEP 4:
BRING DOWN the 8
STEP 5:
REPEAT OR REMAINDER?

71. 02 6
DAD
MOM
16 4288.
32
SISTER
BROTHER
108
ROVER
96
1 28

72. STEP 1: DIVIDE 16
02 6
DAD
into 128 (Estimation
MOM may help)
16 4288.
32
SISTER
BROTHER
108
ROVER
96
1 28

73. STEP 1: DIVIDE 16
02 68
DAD
into 128 (Estimation
MOM may help)
16 4288.
32
SISTER
BROTHER
108
ROVER
96
1 28

74. STEP 1: DIVIDE 16
02 68
DAD
into 128 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 8
108
ROVER
96
1 28
128

75. STEP 1: DIVIDE 16
02 68
DAD
into 128 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 8
108
ROVER
96 STEP 3:
SUBTRACT
1 28 128 - 128
128

76. STEP 1: DIVIDE 16
02 68
DAD
into 128 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 8
108
ROVER
96 STEP 3:
SUBTRACT
1 28 128 - 128
128
0

77. STEP 1: DIVIDE 16
02 68
DAD
into 128 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 8
108
ROVER
96 STEP 3:
SUBTRACT
1 28 128 - 128
128 STEP 4:
Noting to
0 BRING DOWN

78. STEP 1: DIVIDE 16
02 68
DAD
into 128 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 8
108
ROVER
96 STEP 3:
SUBTRACT
STEP 5: 1 28 128 - 128
REPEAT OR
REMAINDER? 128 STEP 4:
Noting to
0 BRING DOWN

79. STEP 1: DIVIDE 16
02 68
DAD
into 128 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 8
108
ROVER
96 STEP 3:
SUBTRACT
STEP 5: 1 28 128 - 128
REPEAT OR
REMAINDER? 128 STEP 4:
Noting to
0 BRING DOWN

80. STEP 1: DIVIDE 16
02 6.8
DAD
into 128 (Estimation
MOM may help)
16 4288.
32
SISTER STEP 2: Multiply
BROTHER 16 by 8
108
ROVER
96 STEP 3:
SUBTRACT
STEP 5: 1 28 128 - 128
REPEAT OR
REMAINDER? 128 STEP 4:
Noting to
0 BRING DOWN

81. Check By Multiplying
.
268
.
x 16 Answer:
26.8

82. Check By Multiplying
.
268
.
x 16 Answer:
26.8

83. Check By Multiplying
.
268
.
x 16 Answer:
26.8

84. Check By Multiplying
4
.
268
.
x 16 Answer:
26.8
8

85. Check By Multiplying
4
.
268
.
x 16 Answer:
26.8
8

86. Check By Multiplying
4 4
.
268
.
x 16 Answer:
26.8
08

87. Check By Multiplying
4 4
.
268
.
x 16 Answer:
26.8
08

88. Check By Multiplying
4 4
.
268
.
x 16 Answer:
26.8
1608

89. Check By Multiplying
.
268
.
x 16 Answer:
26.8
1608
0

90. Check By Multiplying
.
268
.
x 16 Answer:
26.8
1608
0

91. Check By Multiplying
.
268
.
x 16 Answer:
26.8
1608
80

92. Check By Multiplying
.
268
.
x 16 Answer:
26.8
1608
80

93. Check By Multiplying
.
268
.
x 16 Answer:
26.8
1608
68 0

94. Check By Multiplying
.
268
.
x 16 Answer:
26.8
1608
68 0

95. Check By Multiplying
.
268
.
x 16 Answer:
26.8
1608
268 0

96. Check By Multiplying
.
268
.
x 16 Answer:
26.8
1608
+ 268 0

97. Check By Multiplying
.
268
x 16
1 . Answer:
26.8
1608
+ 268 0
4288

98. Check By Multiplying
.
268
x 16
1 . Answer:
26.8
1608
+ 268 0
42.88 Checks out!