1. 5-7 Dividing Greater
Numbers
Math Notes
Number Sense 2.2

2. What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.

3. What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
WHAT YOU’VE
LEARNED ALREADY

4. What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
WHAT YOU’VE WHAT YOU’RE
LEARNED ALREADY LEARNING TO DO TODAY

5. What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
23
21 483
WHAT YOU’VE WHAT YOU’RE
LEARNED ALREADY LEARNING TO DO TODAY

6. What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
23 382r1
21 483 56 21393
WHAT YOU’VE WHAT YOU’RE
LEARNED ALREADY LEARNING TO DO TODAY

7. Long Division Mnemonic: REVIEW

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

9. DAD
MOM
SISTER
BROTHER
ROVER

10. DAD
MOM
SISTER
BROTHER
ROVER

11. DAD
MOM
SISTER
4288
BROTHER
ROVER

12. DAD
MOM
SISTER
16 4288
BROTHER
ROVER

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

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

15. 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

16. 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

17. 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

18. 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

19. 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

20. 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

21. 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

22. 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

23. 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

24. 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

25. 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

26. 02
DAD
MOM
16 4288
32
SISTER
BROTHER
ROVER
108

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

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

29. 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

30. 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

31. 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

32. 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

33. 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

34. 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?

35. 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?

36. 02 6
DAD
MOM
16 4288
32
SISTER
BROTHER
108
ROVER
96
1 28

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

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

39. 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

40. 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

41. 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

42. 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

43. 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

44. 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

45. Check By Multiplying
268
x 16 Answer:
268

46. Check By Multiplying
268
x 16 Answer:
268

47. Check By Multiplying
268
x 16 Answer:
268

48. Check By Multiplying
4
268
x 16 Answer:
268
8

49. Check By Multiplying
4
268
x 16 Answer:
268
8

50. Check By Multiplying
4 4
268
x 16 Answer:
268
08

51. Check By Multiplying
4 4
268
x 16 Answer:
268
08

52. Check By Multiplying
4 4
268
x 16 Answer:
268
1608

53. Check By Multiplying
268
x 16 Answer:
268
1608
0

54. Check By Multiplying
268
x 16 Answer:
268
1608
0

55. Check By Multiplying
268
x 16 Answer:
268
1608
80

56. Check By Multiplying
268
x 16 Answer:
268
1608
80

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

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

59. Check By Multiplying
268
x 16 Answer:
268
1608
268 0

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

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

62. Check By Multiplying
268
x 16
1
Answer:
268
1608
+ 268 0
4288 Checks out!