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Question
What is the quotient and remainder when $ 406 $ is divided by $ 14 $ ?
Answer
The quotient is 29 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 2 | 9 |
| 1 | 4 | 4 | 0 | 6 |
| | – | 0 | | |
| | | 4 | 0 | |
| | – | 2 | 8 | |
| | | 1 | 2 | 6 |
| | – | 1 | 2 | 6 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 1 | 4 | 4 | 0 | 6 |
STEP 1: DIVIDE 4 : 14 = 0 with a remainder of 4
|
| | | 0 | | |
| 1 | 4 | 4 | 0 | 6 |
STEP 2: MULTIPLY 0 · 14 = 0
|
| | | 0 | | |
| 1 | 4 | 4 | 0 | 6 |
| | | 0 | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | |
| 1 | 4 | 4 | 0 | 6 |
| | – | 0 | | |
| | | 4 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 1 | 4 | 4 | 0 | 6 |
| | – | 0 | | |
| | | 4 | 0 | |
STEP 5: DIVIDE 40 : 14 = 2 with a remainder of 12
|
| | | 0 | 2 | |
| 1 | 4 | 4 | 0 | 6 |
| | – | 0 | | |
| | | 4 | 0 | |
STEP 6: MULTIPLY 2 · 14 = 28
|
| | | 0 | 2 | |
| 1 | 4 | 4 | 0 | 6 |
| | – | 0 | | |
| | | 4 | 0 | |
| | | 2 | 8 | |
STEP 7: SUBTRACT 40 - 28 = 12
|
| | | 0 | 2 | |
| 1 | 4 | 4 | 0 | 6 |
| | – | 0 | | |
| | | 4 | 0 | |
| | – | 2 | 8 | |
| | | 1 | 2 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | |
| 1 | 4 | 4 | 0 | 6 |
| | – | 0 | | |
| | | 4 | 0 | |
| | – | 2 | 8 | |
| | | 1 | 2 | 6 |
STEP 9: DIVIDE 126 : 14 = 9 with a remainder of 0
|
| | | 0 | 2 | 9 |
| 1 | 4 | 4 | 0 | 6 |
| | – | 0 | | |
| | | 4 | 0 | |
| | – | 2 | 8 | |
| | | 1 | 2 | 6 |
STEP 10: MULTIPLY 9 · 14 = 126
|
| | | 0 | 2 | 9 |
| 1 | 4 | 4 | 0 | 6 |
| | – | 0 | | |
| | | 4 | 0 | |
| | – | 2 | 8 | |
| | | 1 | 2 | 6 |
| | | 1 | 2 | 6 |
STEP 11: SUBTRACT 126 - 126 = 0
|
| | | 0 | 2 | 9 |
| 1 | 4 | 4 | 0 | 6 |
| | – | 0 | | |
| | | 4 | 0 | |
| | – | 2 | 8 | |
| | | 1 | 2 | 6 |
| | – | 1 | 2 | 6 |
| | | | | 0 |
STEP 11: SUBTRACT 126 - 126 = 0
|
| | | 0 | 2 | 9 |
| 1 | 4 | 4 | 0 | 6 |
| | – | 0 | | |
| | | 4 | 0 | |
| | – | 2 | 8 | |
| | | 1 | 2 | 6 |
| | – | 1 | 2 | 6 |
| | | | | 0 |
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