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Question
What is the quotient and remainder when $ 129 $ is divided by $ 13 $ ?
Answer
The quotient is 9 and the remainder is 12.
Explanation
|
Division Table
|
| | | 0 | 0 | 9 |
| 1 | 3 | 1 | 2 | 9 |
| | – | 0 | | |
| | | 1 | 2 | |
| | | – | 0 | |
| | | 1 | 2 | 9 |
| | – | 1 | 1 | 7 |
| | | | 1 | 2 |
STEP 0: set up a division table
|
| | | | | |
| 1 | 3 | 1 | 2 | 9 |
STEP 1: DIVIDE 1 : 13 = 0 with a remainder of 1
|
| | | 0 | | |
| 1 | 3 | 1 | 2 | 9 |
STEP 2: MULTIPLY 0 · 13 = 0
|
| | | 0 | | |
| 1 | 3 | 1 | 2 | 9 |
| | | 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | 0 | | |
| 1 | 3 | 1 | 2 | 9 |
| | – | 0 | | |
| | | 1 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 1 | 3 | 1 | 2 | 9 |
| | – | 0 | | |
| | | 1 | 2 | |
STEP 5: DIVIDE 12 : 13 = 0 with a remainder of 12
|
| | | 0 | 0 | |
| 1 | 3 | 1 | 2 | 9 |
| | – | 0 | | |
| | | 1 | 2 | |
STEP 6: MULTIPLY 0 · 13 = 0
|
| | | 0 | 0 | |
| 1 | 3 | 1 | 2 | 9 |
| | – | 0 | | |
| | | 1 | 2 | |
| | | | 0 | |
STEP 7: SUBTRACT 12 - 0 = 12
|
| | | 0 | 0 | |
| 1 | 3 | 1 | 2 | 9 |
| | – | 0 | | |
| | | 1 | 2 | |
| | | – | 0 | |
| | | 1 | 2 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
| 1 | 3 | 1 | 2 | 9 |
| | – | 0 | | |
| | | 1 | 2 | |
| | | – | 0 | |
| | | 1 | 2 | 9 |
STEP 9: DIVIDE 129 : 13 = 9 with a remainder of 12
|
| | | 0 | 0 | 9 |
| 1 | 3 | 1 | 2 | 9 |
| | – | 0 | | |
| | | 1 | 2 | |
| | | – | 0 | |
| | | 1 | 2 | 9 |
STEP 10: MULTIPLY 9 · 13 = 117
|
| | | 0 | 0 | 9 |
| 1 | 3 | 1 | 2 | 9 |
| | – | 0 | | |
| | | 1 | 2 | |
| | | – | 0 | |
| | | 1 | 2 | 9 |
| | | 1 | 1 | 7 |
STEP 11: SUBTRACT 129 - 117 = 12
|
| | | 0 | 0 | 9 |
| 1 | 3 | 1 | 2 | 9 |
| | – | 0 | | |
| | | 1 | 2 | |
| | | – | 0 | |
| | | 1 | 2 | 9 |
| | – | 1 | 1 | 7 |
| | | | 1 | 2 |
STEP 11: SUBTRACT 129 - 117 = 12
|
| | | 0 | 0 | 9 |
| 1 | 3 | 1 | 2 | 9 |
| | – | 0 | | |
| | | 1 | 2 | |
| | | – | 0 | |
| | | 1 | 2 | 9 |
| | – | 1 | 1 | 7 |
| | | | 1 | 2 |
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