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Question
What is the quotient and remainder when $ 7023 $ is divided by $ 14 $ ?
Answer
The quotient is 501 and the remainder is 9.
Explanation
|
Division Table
|
| | | 0 | 5 | 0 | 1 |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 7 | 0 | | |
| | | | 2 | | |
| | | – | 0 | | |
| | | | 2 | 3 | |
| | | – | 1 | 4 | |
| | | | | 9 | |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 4 | 7 | 0 | 2 | 3 |
STEP 1: DIVIDE 7 : 14 = 0 with a remainder of 7
|
| | | 0 | | | |
| 1 | 4 | 7 | 0 | 2 | 3 |
STEP 2: MULTIPLY 0 · 14 = 0
|
| | | 0 | | | |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 5: DIVIDE 70 : 14 = 5 with a remainder of 0
|
| | | 0 | 5 | | |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 6: MULTIPLY 5 · 14 = 70
|
| | | 0 | 5 | | |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | 7 | 0 | | |
STEP 7: SUBTRACT 70 - 70 = 0
|
| | | 0 | 5 | | |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 7 | 0 | | |
| | | | 0 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 5 | | |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 7 | 0 | | |
| | | | 2 | | |
STEP 9: DIVIDE 2 : 14 = 0 with a remainder of 2
|
| | | 0 | 5 | 0 | |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 7 | 0 | | |
| | | | 2 | | |
STEP 10: MULTIPLY 0 · 14 = 0
|
| | | 0 | 5 | 0 | |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 7 | 0 | | |
| | | | 2 | | |
| | | | 0 | | |
STEP 11: SUBTRACT 2 - 0 = 2
|
| | | 0 | 5 | 0 | |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 7 | 0 | | |
| | | | 2 | | |
| | | – | 0 | | |
| | | | 2 | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 5 | 0 | |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 7 | 0 | | |
| | | | 2 | | |
| | | – | 0 | | |
| | | | 2 | 3 | |
STEP 13: DIVIDE 23 : 14 = 1 with a remainder of 9
|
| | | 0 | 5 | 0 | 1 |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 7 | 0 | | |
| | | | 2 | | |
| | | – | 0 | | |
| | | | 2 | 3 | |
STEP 14: MULTIPLY 1 · 14 = 14
|
| | | 0 | 5 | 0 | 1 |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 7 | 0 | | |
| | | | 2 | | |
| | | – | 0 | | |
| | | | 2 | 3 | |
| | | | 1 | 4 | |
STEP 15: SUBTRACT 23 - 14 = 9
|
| | | 0 | 5 | 0 | 1 |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 7 | 0 | | |
| | | | 2 | | |
| | | – | 0 | | |
| | | | 2 | 3 | |
| | | – | 1 | 4 | |
| | | | | 9 | |
STEP 15: SUBTRACT 23 - 14 = 9
|
| | | 0 | 5 | 0 | 1 |
| 1 | 4 | 7 | 0 | 2 | 3 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | – | 7 | 0 | | |
| | | | 2 | | |
| | | – | 0 | | |
| | | | 2 | 3 | |
| | | – | 1 | 4 | |
| | | | | 9 | |
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