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Question
What is the quotient and remainder when $ 8736 $ is divided by $ 672 $ ?
Answer
The quotient is 13 and the remainder is 0.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 | 3 |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
| | | | – | 0 | | |
| | | | 8 | 7 | 3 | |
| | | – | 6 | 7 | 2 | |
| | | | 2 | 0 | 1 | 6 |
| | | – | 2 | 0 | 1 | 6 |
| | | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | | |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
STEP 1: DIVIDE 8 : 672 = 0 with a remainder of 8
|
| | | | 0 | | | |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
STEP 2: MULTIPLY 0 · 672 = 0
|
| | | | 0 | | | |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | | 0 | | | |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
STEP 5: DIVIDE 87 : 672 = 0 with a remainder of 87
|
| | | | 0 | 0 | | |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
STEP 6: MULTIPLY 0 · 672 = 0
|
| | | | 0 | 0 | | |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 87 - 0 = 87
|
| | | | 0 | 0 | | |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
| | | | – | 0 | | |
| | | | 8 | 7 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
| | | | – | 0 | | |
| | | | 8 | 7 | 3 | |
STEP 9: DIVIDE 873 : 672 = 1 with a remainder of 201
|
| | | | 0 | 0 | 1 | |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
| | | | – | 0 | | |
| | | | 8 | 7 | 3 | |
STEP 10: MULTIPLY 1 · 672 = 672
|
| | | | 0 | 0 | 1 | |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
| | | | – | 0 | | |
| | | | 8 | 7 | 3 | |
| | | | 6 | 7 | 2 | |
STEP 11: SUBTRACT 873 - 672 = 201
|
| | | | 0 | 0 | 1 | |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
| | | | – | 0 | | |
| | | | 8 | 7 | 3 | |
| | | – | 6 | 7 | 2 | |
| | | | 2 | 0 | 1 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 1 | |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
| | | | – | 0 | | |
| | | | 8 | 7 | 3 | |
| | | – | 6 | 7 | 2 | |
| | | | 2 | 0 | 1 | 6 |
STEP 13: DIVIDE 2016 : 672 = 3 with a remainder of 0
|
| | | | 0 | 0 | 1 | 3 |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
| | | | – | 0 | | |
| | | | 8 | 7 | 3 | |
| | | – | 6 | 7 | 2 | |
| | | | 2 | 0 | 1 | 6 |
STEP 14: MULTIPLY 3 · 672 = 2016
|
| | | | 0 | 0 | 1 | 3 |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
| | | | – | 0 | | |
| | | | 8 | 7 | 3 | |
| | | – | 6 | 7 | 2 | |
| | | | 2 | 0 | 1 | 6 |
| | | | 2 | 0 | 1 | 6 |
STEP 15: SUBTRACT 2016 - 2016 = 0
|
| | | | 0 | 0 | 1 | 3 |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
| | | | – | 0 | | |
| | | | 8 | 7 | 3 | |
| | | – | 6 | 7 | 2 | |
| | | | 2 | 0 | 1 | 6 |
| | | – | 2 | 0 | 1 | 6 |
| | | | | | | 0 |
STEP 15: SUBTRACT 2016 - 2016 = 0
|
| | | | 0 | 0 | 1 | 3 |
| 6 | 7 | 2 | 8 | 7 | 3 | 6 |
| | | – | 0 | | | |
| | | | 8 | 7 | | |
| | | | – | 0 | | |
| | | | 8 | 7 | 3 | |
| | | – | 6 | 7 | 2 | |
| | | | 2 | 0 | 1 | 6 |
| | | – | 2 | 0 | 1 | 6 |
| | | | | | | 0 |
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