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Question
What is the quotient and remainder when $ 1459 $ is divided by $ 12 $ ?
Answer
The quotient is 121 and the remainder is 7.
Explanation
|
Division Table
|
| | | 0 | 1 | 2 | 1 |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
| | – | 1 | 2 | | |
| | | | 2 | 5 | |
| | | – | 2 | 4 | |
| | | | | 1 | 9 |
| | | | – | 1 | 2 |
| | | | | | 7 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 2 | 1 | 4 | 5 | 9 |
STEP 1: DIVIDE 1 : 12 = 0 with a remainder of 1
|
| | | 0 | | | |
| 1 | 2 | 1 | 4 | 5 | 9 |
STEP 2: MULTIPLY 0 · 12 = 0
|
| | | 0 | | | |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | 0 | | | |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
STEP 5: DIVIDE 14 : 12 = 1 with a remainder of 2
|
| | | 0 | 1 | | |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
STEP 6: MULTIPLY 1 · 12 = 12
|
| | | 0 | 1 | | |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
| | | 1 | 2 | | |
STEP 7: SUBTRACT 14 - 12 = 2
|
| | | 0 | 1 | | |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
| | – | 1 | 2 | | |
| | | | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
| | – | 1 | 2 | | |
| | | | 2 | 5 | |
STEP 9: DIVIDE 25 : 12 = 2 with a remainder of 1
|
| | | 0 | 1 | 2 | |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
| | – | 1 | 2 | | |
| | | | 2 | 5 | |
STEP 10: MULTIPLY 2 · 12 = 24
|
| | | 0 | 1 | 2 | |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
| | – | 1 | 2 | | |
| | | | 2 | 5 | |
| | | | 2 | 4 | |
STEP 11: SUBTRACT 25 - 24 = 1
|
| | | 0 | 1 | 2 | |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
| | – | 1 | 2 | | |
| | | | 2 | 5 | |
| | | – | 2 | 4 | |
| | | | | 1 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 2 | |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
| | – | 1 | 2 | | |
| | | | 2 | 5 | |
| | | – | 2 | 4 | |
| | | | | 1 | 9 |
STEP 13: DIVIDE 19 : 12 = 1 with a remainder of 7
|
| | | 0 | 1 | 2 | 1 |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
| | – | 1 | 2 | | |
| | | | 2 | 5 | |
| | | – | 2 | 4 | |
| | | | | 1 | 9 |
STEP 14: MULTIPLY 1 · 12 = 12
|
| | | 0 | 1 | 2 | 1 |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
| | – | 1 | 2 | | |
| | | | 2 | 5 | |
| | | – | 2 | 4 | |
| | | | | 1 | 9 |
| | | | | 1 | 2 |
STEP 15: SUBTRACT 19 - 12 = 7
|
| | | 0 | 1 | 2 | 1 |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
| | – | 1 | 2 | | |
| | | | 2 | 5 | |
| | | – | 2 | 4 | |
| | | | | 1 | 9 |
| | | | – | 1 | 2 |
| | | | | | 7 |
STEP 15: SUBTRACT 19 - 12 = 7
|
| | | 0 | 1 | 2 | 1 |
| 1 | 2 | 1 | 4 | 5 | 9 |
| | – | 0 | | | |
| | | 1 | 4 | | |
| | – | 1 | 2 | | |
| | | | 2 | 5 | |
| | | – | 2 | 4 | |
| | | | | 1 | 9 |
| | | | – | 1 | 2 |
| | | | | | 7 |
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