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Question
What is the quotient and remainder when $ 8280 $ is divided by $ 16 $ ?
Answer
The quotient is 517 and the remainder is 8.
Explanation
|
Division Table
|
| | | 0 | 5 | 1 | 7 |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 8 | 0 | | |
| | | | 2 | 8 | |
| | | – | 1 | 6 | |
| | | | 1 | 2 | 0 |
| | | – | 1 | 1 | 2 |
| | | | | | 8 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 6 | 8 | 2 | 8 | 0 |
STEP 1: DIVIDE 8 : 16 = 0 with a remainder of 8
|
| | | 0 | | | |
| 1 | 6 | 8 | 2 | 8 | 0 |
STEP 2: MULTIPLY 0 · 16 = 0
|
| | | 0 | | | |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
STEP 5: DIVIDE 82 : 16 = 5 with a remainder of 2
|
| | | 0 | 5 | | |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
STEP 6: MULTIPLY 5 · 16 = 80
|
| | | 0 | 5 | | |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | | 8 | 0 | | |
STEP 7: SUBTRACT 82 - 80 = 2
|
| | | 0 | 5 | | |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 8 | 0 | | |
| | | | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 5 | | |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 8 | 0 | | |
| | | | 2 | 8 | |
STEP 9: DIVIDE 28 : 16 = 1 with a remainder of 12
|
| | | 0 | 5 | 1 | |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 8 | 0 | | |
| | | | 2 | 8 | |
STEP 10: MULTIPLY 1 · 16 = 16
|
| | | 0 | 5 | 1 | |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 8 | 0 | | |
| | | | 2 | 8 | |
| | | | 1 | 6 | |
STEP 11: SUBTRACT 28 - 16 = 12
|
| | | 0 | 5 | 1 | |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 8 | 0 | | |
| | | | 2 | 8 | |
| | | – | 1 | 6 | |
| | | | 1 | 2 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 5 | 1 | |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 8 | 0 | | |
| | | | 2 | 8 | |
| | | – | 1 | 6 | |
| | | | 1 | 2 | 0 |
STEP 13: DIVIDE 120 : 16 = 7 with a remainder of 8
|
| | | 0 | 5 | 1 | 7 |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 8 | 0 | | |
| | | | 2 | 8 | |
| | | – | 1 | 6 | |
| | | | 1 | 2 | 0 |
STEP 14: MULTIPLY 7 · 16 = 112
|
| | | 0 | 5 | 1 | 7 |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 8 | 0 | | |
| | | | 2 | 8 | |
| | | – | 1 | 6 | |
| | | | 1 | 2 | 0 |
| | | | 1 | 1 | 2 |
STEP 15: SUBTRACT 120 - 112 = 8
|
| | | 0 | 5 | 1 | 7 |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 8 | 0 | | |
| | | | 2 | 8 | |
| | | – | 1 | 6 | |
| | | | 1 | 2 | 0 |
| | | – | 1 | 1 | 2 |
| | | | | | 8 |
STEP 15: SUBTRACT 120 - 112 = 8
|
| | | 0 | 5 | 1 | 7 |
| 1 | 6 | 8 | 2 | 8 | 0 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 8 | 0 | | |
| | | | 2 | 8 | |
| | | – | 1 | 6 | |
| | | | 1 | 2 | 0 |
| | | – | 1 | 1 | 2 |
| | | | | | 8 |
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