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Question
What is the quotient and remainder when $ 1128 $ is divided by $ 12 $ ?
Answer
The quotient is 94 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 0 | 9 | 4 |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 2 | |
| | – | 1 | 0 | 8 | |
| | | | | 4 | 8 |
| | | | – | 4 | 8 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 2 | 1 | 1 | 2 | 8 |
STEP 1: DIVIDE 1 : 12 = 0 with a remainder of 1
|
| | | 0 | | | |
| 1 | 2 | 1 | 1 | 2 | 8 |
STEP 2: MULTIPLY 0 · 12 = 0
|
| | | 0 | | | |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | 0 | | | |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
STEP 5: DIVIDE 11 : 12 = 0 with a remainder of 11
|
| | | 0 | 0 | | |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
STEP 6: MULTIPLY 0 · 12 = 0
|
| | | 0 | 0 | | |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 11 - 0 = 11
|
| | | 0 | 0 | | |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 2 | |
STEP 9: DIVIDE 112 : 12 = 9 with a remainder of 4
|
| | | 0 | 0 | 9 | |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 2 | |
STEP 10: MULTIPLY 9 · 12 = 108
|
| | | 0 | 0 | 9 | |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 2 | |
| | | 1 | 0 | 8 | |
STEP 11: SUBTRACT 112 - 108 = 4
|
| | | 0 | 0 | 9 | |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 2 | |
| | – | 1 | 0 | 8 | |
| | | | | 4 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 9 | |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 2 | |
| | – | 1 | 0 | 8 | |
| | | | | 4 | 8 |
STEP 13: DIVIDE 48 : 12 = 4 with a remainder of 0
|
| | | 0 | 0 | 9 | 4 |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 2 | |
| | – | 1 | 0 | 8 | |
| | | | | 4 | 8 |
STEP 14: MULTIPLY 4 · 12 = 48
|
| | | 0 | 0 | 9 | 4 |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 2 | |
| | – | 1 | 0 | 8 | |
| | | | | 4 | 8 |
| | | | | 4 | 8 |
STEP 15: SUBTRACT 48 - 48 = 0
|
| | | 0 | 0 | 9 | 4 |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 2 | |
| | – | 1 | 0 | 8 | |
| | | | | 4 | 8 |
| | | | – | 4 | 8 |
| | | | | | 0 |
STEP 15: SUBTRACT 48 - 48 = 0
|
| | | 0 | 0 | 9 | 4 |
| 1 | 2 | 1 | 1 | 2 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 2 | |
| | – | 1 | 0 | 8 | |
| | | | | 4 | 8 |
| | | | – | 4 | 8 |
| | | | | | 0 |
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