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Question
What is the quotient and remainder when $ 117 $ is divided by $ 3 $ ?
Answer
The quotient is 39 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 3 | 9 |
| 3 | 1 | 1 | 7 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 9 | |
| | | 2 | 7 |
| | – | 2 | 7 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
| 3 | 1 | 1 | 7 |
STEP 1: DIVIDE 1 : 3 = 0 with a remainder of 1
|
| | 0 | | |
| 3 | 1 | 1 | 7 |
STEP 2: MULTIPLY 0 · 3 = 0
|
| | 0 | | |
| 3 | 1 | 1 | 7 |
| | 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | |
| 3 | 1 | 1 | 7 |
| – | 0 | | |
| | 1 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 3 | 1 | 1 | 7 |
| – | 0 | | |
| | 1 | 1 | |
STEP 5: DIVIDE 11 : 3 = 3 with a remainder of 2
|
| | 0 | 3 | |
| 3 | 1 | 1 | 7 |
| – | 0 | | |
| | 1 | 1 | |
STEP 6: MULTIPLY 3 · 3 = 9
|
| | 0 | 3 | |
| 3 | 1 | 1 | 7 |
| – | 0 | | |
| | 1 | 1 | |
| | | 9 | |
STEP 7: SUBTRACT 11 - 9 = 2
|
| | 0 | 3 | |
| 3 | 1 | 1 | 7 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 9 | |
| | | 2 | |
|
STEP 8: BRING DOWN
|
| | 0 | 3 | |
| 3 | 1 | 1 | 7 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 9 | |
| | | 2 | 7 |
STEP 9: DIVIDE 27 : 3 = 9 with a remainder of 0
|
| | 0 | 3 | 9 |
| 3 | 1 | 1 | 7 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 9 | |
| | | 2 | 7 |
STEP 10: MULTIPLY 9 · 3 = 27
|
| | 0 | 3 | 9 |
| 3 | 1 | 1 | 7 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 9 | |
| | | 2 | 7 |
| | | 2 | 7 |
STEP 11: SUBTRACT 27 - 27 = 0
|
| | 0 | 3 | 9 |
| 3 | 1 | 1 | 7 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 9 | |
| | | 2 | 7 |
| | – | 2 | 7 |
| | | | 0 |
STEP 11: SUBTRACT 27 - 27 = 0
|
| | 0 | 3 | 9 |
| 3 | 1 | 1 | 7 |
| – | 0 | | |
| | 1 | 1 | |
| | – | 9 | |
| | | 2 | 7 |
| | – | 2 | 7 |
| | | | 0 |
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