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Question
What is the quotient and remainder when $ 297 $ is divided by $ 18 $ ?
Answer
The quotient is 16 and the remainder is 9.
Explanation
|
Division Table
|
| | | 0 | 1 | 6 |
| 1 | 8 | 2 | 9 | 7 |
| | – | 0 | | |
| | | 2 | 9 | |
| | – | 1 | 8 | |
| | | 1 | 1 | 7 |
| | – | 1 | 0 | 8 |
| | | | | 9 |
STEP 0: set up a division table
|
| | | | | |
| 1 | 8 | 2 | 9 | 7 |
STEP 1: DIVIDE 2 : 18 = 0 with a remainder of 2
|
| | | 0 | | |
| 1 | 8 | 2 | 9 | 7 |
STEP 2: MULTIPLY 0 · 18 = 0
|
| | | 0 | | |
| 1 | 8 | 2 | 9 | 7 |
| | | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | |
| 1 | 8 | 2 | 9 | 7 |
| | – | 0 | | |
| | | 2 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 1 | 8 | 2 | 9 | 7 |
| | – | 0 | | |
| | | 2 | 9 | |
STEP 5: DIVIDE 29 : 18 = 1 with a remainder of 11
|
| | | 0 | 1 | |
| 1 | 8 | 2 | 9 | 7 |
| | – | 0 | | |
| | | 2 | 9 | |
STEP 6: MULTIPLY 1 · 18 = 18
|
| | | 0 | 1 | |
| 1 | 8 | 2 | 9 | 7 |
| | – | 0 | | |
| | | 2 | 9 | |
| | | 1 | 8 | |
STEP 7: SUBTRACT 29 - 18 = 11
|
| | | 0 | 1 | |
| 1 | 8 | 2 | 9 | 7 |
| | – | 0 | | |
| | | 2 | 9 | |
| | – | 1 | 8 | |
| | | 1 | 1 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | |
| 1 | 8 | 2 | 9 | 7 |
| | – | 0 | | |
| | | 2 | 9 | |
| | – | 1 | 8 | |
| | | 1 | 1 | 7 |
STEP 9: DIVIDE 117 : 18 = 6 with a remainder of 9
|
| | | 0 | 1 | 6 |
| 1 | 8 | 2 | 9 | 7 |
| | – | 0 | | |
| | | 2 | 9 | |
| | – | 1 | 8 | |
| | | 1 | 1 | 7 |
STEP 10: MULTIPLY 6 · 18 = 108
|
| | | 0 | 1 | 6 |
| 1 | 8 | 2 | 9 | 7 |
| | – | 0 | | |
| | | 2 | 9 | |
| | – | 1 | 8 | |
| | | 1 | 1 | 7 |
| | | 1 | 0 | 8 |
STEP 11: SUBTRACT 117 - 108 = 9
|
| | | 0 | 1 | 6 |
| 1 | 8 | 2 | 9 | 7 |
| | – | 0 | | |
| | | 2 | 9 | |
| | – | 1 | 8 | |
| | | 1 | 1 | 7 |
| | – | 1 | 0 | 8 |
| | | | | 9 |
STEP 11: SUBTRACT 117 - 108 = 9
|
| | | 0 | 1 | 6 |
| 1 | 8 | 2 | 9 | 7 |
| | – | 0 | | |
| | | 2 | 9 | |
| | – | 1 | 8 | |
| | | 1 | 1 | 7 |
| | – | 1 | 0 | 8 |
| | | | | 9 |
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